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Finding the Fourth Proportional to 2,972.50, 4,458.95 and 892.42

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Solution

The fourth proportional to 2,972.50, 4,458.95 and 892.42 is: 1,338.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.50 : 4,458.95 = 892.42 : x
  2. Step 2: Convert to fraction form
    2,972.50/4,458.95 = 892.42/x
  3. Step 3: Cross multiply
    2,972.50x = 4,458.95 × 892.42
  4. Step 4: Simplify right side
    2,972.50x = 3,979,243.90
  5. Step 5: Solve for x
    x = 3,979,243.90/2,972.50
  6. Step 6: Final answer
    x = 1,338.69

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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.