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Finding the Fourth Proportional to 2,542.87, 3,509.22 and 1,423.78

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Solution

The fourth proportional to 2,542.87, 3,509.22 and 1,423.78 is: 1,964.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.87 : 3,509.22 = 1,423.78 : x
  2. Step 2: Convert to fraction form
    2,542.87/3,509.22 = 1,423.78/x
  3. Step 3: Cross multiply
    2,542.87x = 3,509.22 × 1,423.78
  4. Step 4: Simplify right side
    2,542.87x = 4,996,357.25
  5. Step 5: Solve for x
    x = 4,996,357.25/2,542.87
  6. Step 6: Final answer
    x = 1,964.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.