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Finding the Fourth Proportional to 15,765, 21,755.84 and 8,691.68

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Solution

The fourth proportional to 15,765, 21,755.84 and 8,691.68 is: 11,994.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765 : 21,755.84 = 8,691.68 : x
  2. Step 2: Convert to fraction form
    15,765/21,755.84 = 8,691.68/x
  3. Step 3: Cross multiply
    15,765x = 21,755.84 × 8,691.68
  4. Step 4: Simplify right side
    15,765x = 189,094,799.41
  5. Step 5: Solve for x
    x = 189,094,799.41/15,765
  6. Step 6: Final answer
    x = 11,994.60

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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.