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Finding the Fourth Proportional to 2,972.67, 4,459.17 and 892.46

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Solution

The fourth proportional to 2,972.67, 4,459.17 and 892.46 is: 1,338.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.67 : 4,459.17 = 892.46 : x
  2. Step 2: Convert to fraction form
    2,972.67/4,459.17 = 892.46/x
  3. Step 3: Cross multiply
    2,972.67x = 4,459.17 × 892.46
  4. Step 4: Simplify right side
    2,972.67x = 3,979,630.86
  5. Step 5: Solve for x
    x = 3,979,630.86/2,972.67
  6. Step 6: Final answer
    x = 1,338.74

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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.