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Finding the Fourth Proportional to 3,414.61, 5,123.13 and 1,440.73

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Solution

The fourth proportional to 3,414.61, 5,123.13 and 1,440.73 is: 2,161.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.61 : 5,123.13 = 1,440.73 : x
  2. Step 2: Convert to fraction form
    3,414.61/5,123.13 = 1,440.73/x
  3. Step 3: Cross multiply
    3,414.61x = 5,123.13 × 1,440.73
  4. Step 4: Simplify right side
    3,414.61x = 7,381,021.47
  5. Step 5: Solve for x
    x = 7,381,021.47/3,414.61
  6. Step 6: Final answer
    x = 2,161.60

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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.