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Finding the Fourth Proportional to 21,805.61, 32,719.22 and 8,657.69

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Solution

The fourth proportional to 21,805.61, 32,719.22 and 8,657.69 is: 12,990.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,805.61 : 32,719.22 = 8,657.69 : x
  2. Step 2: Convert to fraction form
    21,805.61/32,719.22 = 8,657.69/x
  3. Step 3: Cross multiply
    21,805.61x = 32,719.22 × 8,657.69
  4. Step 4: Simplify right side
    21,805.61x = 283,272,863.80
  5. Step 5: Solve for x
    x = 283,272,863.80/21,805.61
  6. Step 6: Final answer
    x = 12,990.83

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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.