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Finding the Fourth Proportional to 29,690, 40,975.08 and 16,442

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Solution

The fourth proportional to 29,690, 40,975.08 and 16,442 is: 22,691.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,690 : 40,975.08 = 16,442 : x
  2. Step 2: Convert to fraction form
    29,690/40,975.08 = 16,442/x
  3. Step 3: Cross multiply
    29,690x = 40,975.08 × 16,442
  4. Step 4: Simplify right side
    29,690x = 673,712,265.36
  5. Step 5: Solve for x
    x = 673,712,265.36/29,690
  6. Step 6: Final answer
    x = 22,691.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.