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Finding the Fourth Proportional to 22,760.92, 31,410.20 and 12,690

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Solution

The fourth proportional to 22,760.92, 31,410.20 and 12,690 is: 17,512.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,760.92 : 31,410.20 = 12,690 : x
  2. Step 2: Convert to fraction form
    22,760.92/31,410.20 = 12,690/x
  3. Step 3: Cross multiply
    22,760.92x = 31,410.20 × 12,690
  4. Step 4: Simplify right side
    22,760.92x = 398,595,438
  5. Step 5: Solve for x
    x = 398,595,438/22,760.92
  6. Step 6: Final answer
    x = 17,512.27

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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.