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Finding the Fourth Proportional to 2,972.88, 4,453.56 and 2,287.44

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Solution

The fourth proportional to 2,972.88, 4,453.56 and 2,287.44 is: 3,426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.88 : 4,453.56 = 2,287.44 : x
  2. Step 2: Convert to fraction form
    2,972.88/4,453.56 = 2,287.44/x
  3. Step 3: Cross multiply
    2,972.88x = 4,453.56 × 2,287.44
  4. Step 4: Simplify right side
    2,972.88x = 10,187,251.29
  5. Step 5: Solve for x
    x = 10,187,251.29/2,972.88
  6. Step 6: Final answer
    x = 3,426.73

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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.