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Finding the Fourth Proportional to 3,147.70, 4,721.52 and 839.02

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Solution

The fourth proportional to 3,147.70, 4,721.52 and 839.02 is: 1,258.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.70 : 4,721.52 = 839.02 : x
  2. Step 2: Convert to fraction form
    3,147.70/4,721.52 = 839.02/x
  3. Step 3: Cross multiply
    3,147.70x = 4,721.52 × 839.02
  4. Step 4: Simplify right side
    3,147.70x = 3,961,449.71
  5. Step 5: Solve for x
    x = 3,961,449.71/3,147.70
  6. Step 6: Final answer
    x = 1,258.52

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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.