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Finding the Fourth Proportional to 3,856.52, 5,791.80 and 2,398.52

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Solution

The fourth proportional to 3,856.52, 5,791.80 and 2,398.52 is: 3,602.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.52 : 5,791.80 = 2,398.52 : x
  2. Step 2: Convert to fraction form
    3,856.52/5,791.80 = 2,398.52/x
  3. Step 3: Cross multiply
    3,856.52x = 5,791.80 × 2,398.52
  4. Step 4: Simplify right side
    3,856.52x = 13,891,748.14
  5. Step 5: Solve for x
    x = 13,891,748.14/3,856.52
  6. Step 6: Final answer
    x = 3,602.15

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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.