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Finding the Fourth Proportional to 21,691.76, 32,538 and 6,109.76

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Solution

The fourth proportional to 21,691.76, 32,538 and 6,109.76 is: 9,164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,691.76 : 32,538 = 6,109.76 : x
  2. Step 2: Convert to fraction form
    21,691.76/32,538 = 6,109.76/x
  3. Step 3: Cross multiply
    21,691.76x = 32,538 × 6,109.76
  4. Step 4: Simplify right side
    21,691.76x = 198,799,370.88
  5. Step 5: Solve for x
    x = 198,799,370.88/21,691.76
  6. Step 6: Final answer
    x = 9,164.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.