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Finding the Fourth Proportional to 34,690, 52,033.16 and 9,731.78

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Solution

The fourth proportional to 34,690, 52,033.16 and 9,731.78 is: 14,597.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,690 : 52,033.16 = 9,731.78 : x
  2. Step 2: Convert to fraction form
    34,690/52,033.16 = 9,731.78/x
  3. Step 3: Cross multiply
    34,690x = 52,033.16 × 9,731.78
  4. Step 4: Simplify right side
    34,690x = 506,375,265.82
  5. Step 5: Solve for x
    x = 506,375,265.82/34,690
  6. Step 6: Final answer
    x = 14,597.15

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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.