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Finding the Fourth Proportional to 3,129.52, 4,694.14 and 1,280.02

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Solution

The fourth proportional to 3,129.52, 4,694.14 and 1,280.02 is: 1,919.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.52 : 4,694.14 = 1,280.02 : x
  2. Step 2: Convert to fraction form
    3,129.52/4,694.14 = 1,280.02/x
  3. Step 3: Cross multiply
    3,129.52x = 4,694.14 × 1,280.02
  4. Step 4: Simplify right side
    3,129.52x = 6,008,593.08
  5. Step 5: Solve for x
    x = 6,008,593.08/3,129.52
  6. Step 6: Final answer
    x = 1,919.97

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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.