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Finding the Fourth Proportional to 2,247.12, 3,370.56 and 708

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Solution

The fourth proportional to 2,247.12, 3,370.56 and 708 is: 1,061.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.12 : 3,370.56 = 708 : x
  2. Step 2: Convert to fraction form
    2,247.12/3,370.56 = 708/x
  3. Step 3: Cross multiply
    2,247.12x = 3,370.56 × 708
  4. Step 4: Simplify right side
    2,247.12x = 2,386,356.48
  5. Step 5: Solve for x
    x = 2,386,356.48/2,247.12
  6. Step 6: Final answer
    x = 1,061.96

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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.