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Finding the Fourth Proportional to 5,151.88, 7,732.86 and 3,672.70

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Solution

The fourth proportional to 5,151.88, 7,732.86 and 3,672.70 is: 5,512.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.88 : 7,732.86 = 3,672.70 : x
  2. Step 2: Convert to fraction form
    5,151.88/7,732.86 = 3,672.70/x
  3. Step 3: Cross multiply
    5,151.88x = 7,732.86 × 3,672.70
  4. Step 4: Simplify right side
    5,151.88x = 28,400,474.92
  5. Step 5: Solve for x
    x = 28,400,474.92/5,151.88
  6. Step 6: Final answer
    x = 5,512.64

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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.