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Finding the Fourth Proportional to 3,147.28, 4,720.92 and 838.78

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Solution

The fourth proportional to 3,147.28, 4,720.92 and 838.78 is: 1,258.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.28 : 4,720.92 = 838.78 : x
  2. Step 2: Convert to fraction form
    3,147.28/4,720.92 = 838.78/x
  3. Step 3: Cross multiply
    3,147.28x = 4,720.92 × 838.78
  4. Step 4: Simplify right side
    3,147.28x = 3,959,813.28
  5. Step 5: Solve for x
    x = 3,959,813.28/3,147.28
  6. Step 6: Final answer
    x = 1,258.17

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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.