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Finding the Fourth Proportional to 21,706.76, 32,538 and 8,553.80

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Solution

The fourth proportional to 21,706.76, 32,538 and 8,553.80 is: 12,821.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.76 : 32,538 = 8,553.80 : x
  2. Step 2: Convert to fraction form
    21,706.76/32,538 = 8,553.80/x
  3. Step 3: Cross multiply
    21,706.76x = 32,538 × 8,553.80
  4. Step 4: Simplify right side
    21,706.76x = 278,323,544.40
  5. Step 5: Solve for x
    x = 278,323,544.40/21,706.76
  6. Step 6: Final answer
    x = 12,821.98

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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.