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Finding the Fourth Proportional to 2,478.80, 3,711.72 and 1,318.88

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Solution

The fourth proportional to 2,478.80, 3,711.72 and 1,318.88 is: 1,974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.80 : 3,711.72 = 1,318.88 : x
  2. Step 2: Convert to fraction form
    2,478.80/3,711.72 = 1,318.88/x
  3. Step 3: Cross multiply
    2,478.80x = 3,711.72 × 1,318.88
  4. Step 4: Simplify right side
    2,478.80x = 4,895,313.27
  5. Step 5: Solve for x
    x = 4,895,313.27/2,478.80
  6. Step 6: Final answer
    x = 1,974.87

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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.