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Finding the Fourth Proportional to 5,132.30, 7,700.88 and 2,942.88

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Solution

The fourth proportional to 5,132.30, 7,700.88 and 2,942.88 is: 4,415.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.30 : 7,700.88 = 2,942.88 : x
  2. Step 2: Convert to fraction form
    5,132.30/7,700.88 = 2,942.88/x
  3. Step 3: Cross multiply
    5,132.30x = 7,700.88 × 2,942.88
  4. Step 4: Simplify right side
    5,132.30x = 22,662,765.73
  5. Step 5: Solve for x
    x = 22,662,765.73/5,132.30
  6. Step 6: Final answer
    x = 4,415.71

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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.