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Finding the Fourth Proportional to 21,805.62, 32,719.23 and 8,657.70

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Solution

The fourth proportional to 21,805.62, 32,719.23 and 8,657.70 is: 12,990.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,805.62 : 32,719.23 = 8,657.70 : x
  2. Step 2: Convert to fraction form
    21,805.62/32,719.23 = 8,657.70/x
  3. Step 3: Cross multiply
    21,805.62x = 32,719.23 × 8,657.70
  4. Step 4: Simplify right side
    21,805.62x = 283,273,277.57
  5. Step 5: Solve for x
    x = 283,273,277.57/21,805.62
  6. Step 6: Final answer
    x = 12,990.84

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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.