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Finding the Fourth Proportional to 2,542.92, 3,509.02 and 1,423.70

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Solution

The fourth proportional to 2,542.92, 3,509.02 and 1,423.70 is: 1,964.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.92 : 3,509.02 = 1,423.70 : x
  2. Step 2: Convert to fraction form
    2,542.92/3,509.02 = 1,423.70/x
  3. Step 3: Cross multiply
    2,542.92x = 3,509.02 × 1,423.70
  4. Step 4: Simplify right side
    2,542.92x = 4,995,791.77
  5. Step 5: Solve for x
    x = 4,995,791.77/2,542.92
  6. Step 6: Final answer
    x = 1,964.59

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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.