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Finding the Fourth Proportional to 3,486.47, 5,229.75 and 853.97

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Solution

The fourth proportional to 3,486.47, 5,229.75 and 853.97 is: 1,280.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.47 : 5,229.75 = 853.97 : x
  2. Step 2: Convert to fraction form
    3,486.47/5,229.75 = 853.97/x
  3. Step 3: Cross multiply
    3,486.47x = 5,229.75 × 853.97
  4. Step 4: Simplify right side
    3,486.47x = 4,466,062.68
  5. Step 5: Solve for x
    x = 4,466,062.68/3,486.47
  6. Step 6: Final answer
    x = 1,280.97

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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.