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Finding the Fourth Proportional to 31,803.60, 47,705.40 and 8,111.10

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Solution

The fourth proportional to 31,803.60, 47,705.40 and 8,111.10 is: 12,166.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,803.60 : 47,705.40 = 8,111.10 : x
  2. Step 2: Convert to fraction form
    31,803.60/47,705.40 = 8,111.10/x
  3. Step 3: Cross multiply
    31,803.60x = 47,705.40 × 8,111.10
  4. Step 4: Simplify right side
    31,803.60x = 386,943,269.94
  5. Step 5: Solve for x
    x = 386,943,269.94/31,803.60
  6. Step 6: Final answer
    x = 12,166.65

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Double scale
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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.