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Finding the Fourth Proportional to 16,402, 22,634.10 and 9,689.78

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Solution

The fourth proportional to 16,402, 22,634.10 and 9,689.78 is: 13,371.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402 : 22,634.10 = 9,689.78 : x
  2. Step 2: Convert to fraction form
    16,402/22,634.10 = 9,689.78/x
  3. Step 3: Cross multiply
    16,402x = 22,634.10 × 9,689.78
  4. Step 4: Simplify right side
    16,402x = 219,319,449.50
  5. Step 5: Solve for x
    x = 219,319,449.50/16,402
  6. Step 6: Final answer
    x = 13,371.51

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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.