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Finding the Fourth Proportional to 21,708.76, 32,541 and 8,555.80

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Solution

The fourth proportional to 21,708.76, 32,541 and 8,555.80 is: 12,824.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,708.76 : 32,541 = 8,555.80 : x
  2. Step 2: Convert to fraction form
    21,708.76/32,541 = 8,555.80/x
  3. Step 3: Cross multiply
    21,708.76x = 32,541 × 8,555.80
  4. Step 4: Simplify right side
    21,708.76x = 278,414,287.80
  5. Step 5: Solve for x
    x = 278,414,287.80/21,708.76
  6. Step 6: Final answer
    x = 12,824.97

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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.