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Finding the Fourth Proportional to 39,690, 59,543.71 and 11,612.43

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Solution

The fourth proportional to 39,690, 59,543.71 and 11,612.43 is: 17,421.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,690 : 59,543.71 = 11,612.43 : x
  2. Step 2: Convert to fraction form
    39,690/59,543.71 = 11,612.43/x
  3. Step 3: Cross multiply
    39,690x = 59,543.71 × 11,612.43
  4. Step 4: Simplify right side
    39,690x = 691,447,135.28
  5. Step 5: Solve for x
    x = 691,447,135.28/39,690
  6. Step 6: Final answer
    x = 17,421.19

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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.