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Finding the Fourth Proportional to 3,251.61, 4,876.65 and 911.10

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Solution

The fourth proportional to 3,251.61, 4,876.65 and 911.10 is: 1,366.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.61 : 4,876.65 = 911.10 : x
  2. Step 2: Convert to fraction form
    3,251.61/4,876.65 = 911.10/x
  3. Step 3: Cross multiply
    3,251.61x = 4,876.65 × 911.10
  4. Step 4: Simplify right side
    3,251.61x = 4,443,115.82
  5. Step 5: Solve for x
    x = 4,443,115.82/3,251.61
  6. Step 6: Final answer
    x = 1,366.44

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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.