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Finding the Fourth Proportional to 3,968.82, 5,947.07 and 1,502.31

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Solution

The fourth proportional to 3,968.82, 5,947.07 and 1,502.31 is: 2,251.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.82 : 5,947.07 = 1,502.31 : x
  2. Step 2: Convert to fraction form
    3,968.82/5,947.07 = 1,502.31/x
  3. Step 3: Cross multiply
    3,968.82x = 5,947.07 × 1,502.31
  4. Step 4: Simplify right side
    3,968.82x = 8,934,342.73
  5. Step 5: Solve for x
    x = 8,934,342.73/3,968.82
  6. Step 6: Final answer
    x = 2,251.13

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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.