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Finding the Fourth Proportional to 31,314.48, 46,972.08 and 7,940.32

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Solution

The fourth proportional to 31,314.48, 46,972.08 and 7,940.32 is: 11,910.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,314.48 : 46,972.08 = 7,940.32 : x
  2. Step 2: Convert to fraction form
    31,314.48/46,972.08 = 7,940.32/x
  3. Step 3: Cross multiply
    31,314.48x = 46,972.08 × 7,940.32
  4. Step 4: Simplify right side
    31,314.48x = 372,973,346.27
  5. Step 5: Solve for x
    x = 372,973,346.27/31,314.48
  6. Step 6: Final answer
    x = 11,910.57

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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.