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Finding the Fourth Proportional to 2,542.34, 3,812.65 and 853.39

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Solution

The fourth proportional to 2,542.34, 3,812.65 and 853.39 is: 1,279.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.34 : 3,812.65 = 853.39 : x
  2. Step 2: Convert to fraction form
    2,542.34/3,812.65 = 853.39/x
  3. Step 3: Cross multiply
    2,542.34x = 3,812.65 × 853.39
  4. Step 4: Simplify right side
    2,542.34x = 3,253,677.38
  5. Step 5: Solve for x
    x = 3,253,677.38/2,542.34
  6. Step 6: Final answer
    x = 1,279.80

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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.