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Finding the Fourth Proportional to 3,902.71, 5,385.74 and 2,134.32

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Solution

The fourth proportional to 3,902.71, 5,385.74 and 2,134.32 is: 2,945.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.71 : 5,385.74 = 2,134.32 : x
  2. Step 2: Convert to fraction form
    3,902.71/5,385.74 = 2,134.32/x
  3. Step 3: Cross multiply
    3,902.71x = 5,385.74 × 2,134.32
  4. Step 4: Simplify right side
    3,902.71x = 11,494,891.85
  5. Step 5: Solve for x
    x = 11,494,891.85/3,902.71
  6. Step 6: Final answer
    x = 2,945.36

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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.