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Finding the Fourth Proportional to 2,569.44, 3,856.42 and 1,337.68

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Solution

The fourth proportional to 2,569.44, 3,856.42 and 1,337.68 is: 2,007.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.44 : 3,856.42 = 1,337.68 : x
  2. Step 2: Convert to fraction form
    2,569.44/3,856.42 = 1,337.68/x
  3. Step 3: Cross multiply
    2,569.44x = 3,856.42 × 1,337.68
  4. Step 4: Simplify right side
    2,569.44x = 5,158,655.91
  5. Step 5: Solve for x
    x = 5,158,655.91/2,569.44
  6. Step 6: Final answer
    x = 2,007.70

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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.