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Finding the Fourth Proportional to 2,248.68, 3,375.42 and 1,276.68

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Solution

The fourth proportional to 2,248.68, 3,375.42 and 1,276.68 is: 1,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.68 : 3,375.42 = 1,276.68 : x
  2. Step 2: Convert to fraction form
    2,248.68/3,375.42 = 1,276.68/x
  3. Step 3: Cross multiply
    2,248.68x = 3,375.42 × 1,276.68
  4. Step 4: Simplify right side
    2,248.68x = 4,309,331.21
  5. Step 5: Solve for x
    x = 4,309,331.21/2,248.68
  6. Step 6: Final answer
    x = 1,916.38

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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.