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Finding the Fourth Proportional to 2,972.20, 4,459.07 and 892.12

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Solution

The fourth proportional to 2,972.20, 4,459.07 and 892.12 is: 1,338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.20 : 4,459.07 = 892.12 : x
  2. Step 2: Convert to fraction form
    2,972.20/4,459.07 = 892.12/x
  3. Step 3: Cross multiply
    2,972.20x = 4,459.07 × 892.12
  4. Step 4: Simplify right side
    2,972.20x = 3,978,025.53
  5. Step 5: Solve for x
    x = 3,978,025.53/2,972.20
  6. Step 6: Final answer
    x = 1,338.41

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1.5x scale

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.