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Finding the Fourth Proportional to 5,174.88, 7,755.32 and 2,831.34

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Solution

The fourth proportional to 5,174.88, 7,755.32 and 2,831.34 is: 4,243.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.88 : 7,755.32 = 2,831.34 : x
  2. Step 2: Convert to fraction form
    5,174.88/7,755.32 = 2,831.34/x
  3. Step 3: Cross multiply
    5,174.88x = 7,755.32 × 2,831.34
  4. Step 4: Simplify right side
    5,174.88x = 21,957,947.73
  5. Step 5: Solve for x
    x = 21,957,947.73/5,174.88
  6. Step 6: Final answer
    x = 4,243.18

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1.5x scale

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.