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Finding the Fourth Proportional to 3,913.24, 5,866.24 and 1,447.48

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Solution

The fourth proportional to 3,913.24, 5,866.24 and 1,447.48 is: 2,169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.24 : 5,866.24 = 1,447.48 : x
  2. Step 2: Convert to fraction form
    3,913.24/5,866.24 = 1,447.48/x
  3. Step 3: Cross multiply
    3,913.24x = 5,866.24 × 1,447.48
  4. Step 4: Simplify right side
    3,913.24x = 8,491,265.08
  5. Step 5: Solve for x
    x = 8,491,265.08/3,913.24
  6. Step 6: Final answer
    x = 2,169.88

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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.