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Finding the Fourth Proportional to 4,138.76, 5,711.10 and 3,354.68

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Solution

The fourth proportional to 4,138.76, 5,711.10 and 3,354.68 is: 4,629.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.76 : 5,711.10 = 3,354.68 : x
  2. Step 2: Convert to fraction form
    4,138.76/5,711.10 = 3,354.68/x
  3. Step 3: Cross multiply
    4,138.76x = 5,711.10 × 3,354.68
  4. Step 4: Simplify right side
    4,138.76x = 19,158,912.95
  5. Step 5: Solve for x
    x = 19,158,912.95/4,138.76
  6. Step 6: Final answer
    x = 4,629.14

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Double scale
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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.