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Finding the Fourth Proportional to 16,565.65, 22,869.07 and 12,780.32

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Solution

The fourth proportional to 16,565.65, 22,869.07 and 12,780.32 is: 17,643.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565.65 : 22,869.07 = 12,780.32 : x
  2. Step 2: Convert to fraction form
    16,565.65/22,869.07 = 12,780.32/x
  3. Step 3: Cross multiply
    16,565.65x = 22,869.07 × 12,780.32
  4. Step 4: Simplify right side
    16,565.65x = 292,273,886.41
  5. Step 5: Solve for x
    x = 292,273,886.41/16,565.65
  6. Step 6: Final answer
    x = 17,643.37

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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.