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Finding the Fourth Proportional to 3,152.76, 4,729.85 and 961.71

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Solution

The fourth proportional to 3,152.76, 4,729.85 and 961.71 is: 1,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.76 : 4,729.85 = 961.71 : x
  2. Step 2: Convert to fraction form
    3,152.76/4,729.85 = 961.71/x
  3. Step 3: Cross multiply
    3,152.76x = 4,729.85 × 961.71
  4. Step 4: Simplify right side
    3,152.76x = 4,548,741.64
  5. Step 5: Solve for x
    x = 4,548,741.64/3,152.76
  6. Step 6: Final answer
    x = 1,442.78

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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.