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Finding the Fourth Proportional to 5,642.76, 8,458.78 and 2,179.24

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Solution

The fourth proportional to 5,642.76, 8,458.78 and 2,179.24 is: 3,266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.76 : 8,458.78 = 2,179.24 : x
  2. Step 2: Convert to fraction form
    5,642.76/8,458.78 = 2,179.24/x
  3. Step 3: Cross multiply
    5,642.76x = 8,458.78 × 2,179.24
  4. Step 4: Simplify right side
    5,642.76x = 18,433,711.73
  5. Step 5: Solve for x
    x = 18,433,711.73/5,642.76
  6. Step 6: Final answer
    x = 3,266.79

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1.5x scale

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.