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Finding the Fourth Proportional to 2,542.78, 3,814.17 and 898.42

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Solution

The fourth proportional to 2,542.78, 3,814.17 and 898.42 is: 1,347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.78 : 3,814.17 = 898.42 : x
  2. Step 2: Convert to fraction form
    2,542.78/3,814.17 = 898.42/x
  3. Step 3: Cross multiply
    2,542.78x = 3,814.17 × 898.42
  4. Step 4: Simplify right side
    2,542.78x = 3,426,726.61
  5. Step 5: Solve for x
    x = 3,426,726.61/2,542.78
  6. Step 6: Final answer
    x = 1,347.63

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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.