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Finding the Fourth Proportional to 20,503.68, 30,761.10 and 6,652.68

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Solution

The fourth proportional to 20,503.68, 30,761.10 and 6,652.68 is: 9,980.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,503.68 : 30,761.10 = 6,652.68 : x
  2. Step 2: Convert to fraction form
    20,503.68/30,761.10 = 6,652.68/x
  3. Step 3: Cross multiply
    20,503.68x = 30,761.10 × 6,652.68
  4. Step 4: Simplify right side
    20,503.68x = 204,643,754.75
  5. Step 5: Solve for x
    x = 204,643,754.75/20,503.68
  6. Step 6: Final answer
    x = 9,980.83

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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.