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Finding the Fourth Proportional to 14,864, 20,515.52 and 8,897

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Solution

The fourth proportional to 14,864, 20,515.52 and 8,897 is: 12,279.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,864 : 20,515.52 = 8,897 : x
  2. Step 2: Convert to fraction form
    14,864/20,515.52 = 8,897/x
  3. Step 3: Cross multiply
    14,864x = 20,515.52 × 8,897
  4. Step 4: Simplify right side
    14,864x = 182,526,581.44
  5. Step 5: Solve for x
    x = 182,526,581.44/14,864
  6. Step 6: Final answer
    x = 12,279.78

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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.