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Finding the Fourth Proportional to 2,972.61, 4,459.17 and 892.47

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Solution

The fourth proportional to 2,972.61, 4,459.17 and 892.47 is: 1,338.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.61 : 4,459.17 = 892.47 : x
  2. Step 2: Convert to fraction form
    2,972.61/4,459.17 = 892.47/x
  3. Step 3: Cross multiply
    2,972.61x = 4,459.17 × 892.47
  4. Step 4: Simplify right side
    2,972.61x = 3,979,675.45
  5. Step 5: Solve for x
    x = 3,979,675.45/2,972.61
  6. Step 6: Final answer
    x = 1,338.78

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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.