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Finding the Fourth Proportional to 1,613.78, 2,423.79 and 1,432.74

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Solution

The fourth proportional to 1,613.78, 2,423.79 and 1,432.74 is: 2,151.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.78 : 2,423.79 = 1,432.74 : x
  2. Step 2: Convert to fraction form
    1,613.78/2,423.79 = 1,432.74/x
  3. Step 3: Cross multiply
    1,613.78x = 2,423.79 × 1,432.74
  4. Step 4: Simplify right side
    1,613.78x = 3,472,660.88
  5. Step 5: Solve for x
    x = 3,472,660.88/1,613.78
  6. Step 6: Final answer
    x = 2,151.88

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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.