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Finding the Fourth Proportional to 21,540.74, 32,311.11 and 6,750.80

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Solution

The fourth proportional to 21,540.74, 32,311.11 and 6,750.80 is: 10,126.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,540.74 : 32,311.11 = 6,750.80 : x
  2. Step 2: Convert to fraction form
    21,540.74/32,311.11 = 6,750.80/x
  3. Step 3: Cross multiply
    21,540.74x = 32,311.11 × 6,750.80
  4. Step 4: Simplify right side
    21,540.74x = 218,125,841.39
  5. Step 5: Solve for x
    x = 218,125,841.39/21,540.74
  6. Step 6: Final answer
    x = 10,126.20

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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.