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Finding the Fourth Proportional to 22,481, 31,023.78 and 12,545

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Solution

The fourth proportional to 22,481, 31,023.78 and 12,545 is: 17,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,481 : 31,023.78 = 12,545 : x
  2. Step 2: Convert to fraction form
    22,481/31,023.78 = 12,545/x
  3. Step 3: Cross multiply
    22,481x = 31,023.78 × 12,545
  4. Step 4: Simplify right side
    22,481x = 389,193,320.10
  5. Step 5: Solve for x
    x = 389,193,320.10/22,481
  6. Step 6: Final answer
    x = 17,312.10

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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.