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Finding the Fourth Proportional to 10,604.68, 15,909.90 and 3,679.72

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Solution

The fourth proportional to 10,604.68, 15,909.90 and 3,679.72 is: 5,520.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.68 : 15,909.90 = 3,679.72 : x
  2. Step 2: Convert to fraction form
    10,604.68/15,909.90 = 3,679.72/x
  3. Step 3: Cross multiply
    10,604.68x = 15,909.90 × 3,679.72
  4. Step 4: Simplify right side
    10,604.68x = 58,543,977.23
  5. Step 5: Solve for x
    x = 58,543,977.23/10,604.68
  6. Step 6: Final answer
    x = 5,520.58

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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.