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Finding the Fourth Proportional to 22,160, 30,578.40 and 12,729.92

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Solution

The fourth proportional to 22,160, 30,578.40 and 12,729.92 is: 17,565.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,160 : 30,578.40 = 12,729.92 : x
  2. Step 2: Convert to fraction form
    22,160/30,578.40 = 12,729.92/x
  3. Step 3: Cross multiply
    22,160x = 30,578.40 × 12,729.92
  4. Step 4: Simplify right side
    22,160x = 389,260,585.73
  5. Step 5: Solve for x
    x = 389,260,585.73/22,160
  6. Step 6: Final answer
    x = 17,565.91

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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.