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Finding the Fourth Proportional to 3,151.60, 4,727.90 and 959.82

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Solution

The fourth proportional to 3,151.60, 4,727.90 and 959.82 is: 1,439.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.60 : 4,727.90 = 959.82 : x
  2. Step 2: Convert to fraction form
    3,151.60/4,727.90 = 959.82/x
  3. Step 3: Cross multiply
    3,151.60x = 4,727.90 × 959.82
  4. Step 4: Simplify right side
    3,151.60x = 4,537,932.98
  5. Step 5: Solve for x
    x = 4,537,932.98/3,151.60
  6. Step 6: Final answer
    x = 1,439.88

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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.