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Finding the Fourth Proportional to 2,281.52, 3,149.28 and 1,350

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Solution

The fourth proportional to 2,281.52, 3,149.28 and 1,350 is: 1,863.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.52 : 3,149.28 = 1,350 : x
  2. Step 2: Convert to fraction form
    2,281.52/3,149.28 = 1,350/x
  3. Step 3: Cross multiply
    2,281.52x = 3,149.28 × 1,350
  4. Step 4: Simplify right side
    2,281.52x = 4,251,528
  5. Step 5: Solve for x
    x = 4,251,528/2,281.52
  6. Step 6: Final answer
    x = 1,863.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.