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Finding the Fourth Proportional to 31,141.87, 46,712.97 and 7,768.31

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Solution

The fourth proportional to 31,141.87, 46,712.97 and 7,768.31 is: 11,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,141.87 : 46,712.97 = 7,768.31 : x
  2. Step 2: Convert to fraction form
    31,141.87/46,712.97 = 7,768.31/x
  3. Step 3: Cross multiply
    31,141.87x = 46,712.97 × 7,768.31
  4. Step 4: Simplify right side
    31,141.87x = 362,880,598.42
  5. Step 5: Solve for x
    x = 362,880,598.42/31,141.87
  6. Step 6: Final answer
    x = 11,652.50

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Half scale
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Double scale
Find fourth proportional to 31,142.87, 46,714.47 and 7,769.31
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.