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Finding the Fourth Proportional to 2,542.77, 3,509.02 and 1,423.71

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Solution

The fourth proportional to 2,542.77, 3,509.02 and 1,423.71 is: 1,964.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.77 : 3,509.02 = 1,423.71 : x
  2. Step 2: Convert to fraction form
    2,542.77/3,509.02 = 1,423.71/x
  3. Step 3: Cross multiply
    2,542.77x = 3,509.02 × 1,423.71
  4. Step 4: Simplify right side
    2,542.77x = 4,995,828.64
  5. Step 5: Solve for x
    x = 4,995,828.64/2,542.77
  6. Step 6: Final answer
    x = 1,964.72

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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.