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Finding the Fourth Proportional to 3,380.70, 4,658.78 and 2,434.71

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Solution

The fourth proportional to 3,380.70, 4,658.78 and 2,434.71 is: 3,355.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.70 : 4,658.78 = 2,434.71 : x
  2. Step 2: Convert to fraction form
    3,380.70/4,658.78 = 2,434.71/x
  3. Step 3: Cross multiply
    3,380.70x = 4,658.78 × 2,434.71
  4. Step 4: Simplify right side
    3,380.70x = 11,342,761.91
  5. Step 5: Solve for x
    x = 11,342,761.91/3,380.70
  6. Step 6: Final answer
    x = 3,355.15

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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.