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Finding the Fourth Proportional to 2,479.24, 3,718.86 and 747.86

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Solution

The fourth proportional to 2,479.24, 3,718.86 and 747.86 is: 1,121.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.24 : 3,718.86 = 747.86 : x
  2. Step 2: Convert to fraction form
    2,479.24/3,718.86 = 747.86/x
  3. Step 3: Cross multiply
    2,479.24x = 3,718.86 × 747.86
  4. Step 4: Simplify right side
    2,479.24x = 2,781,182.90
  5. Step 5: Solve for x
    x = 2,781,182.90/2,479.24
  6. Step 6: Final answer
    x = 1,121.79

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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.