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Finding the Fourth Proportional to 6,761.25, 10,142.01 and 1,831.32

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Solution

The fourth proportional to 6,761.25, 10,142.01 and 1,831.32 is: 2,747.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.25 : 10,142.01 = 1,831.32 : x
  2. Step 2: Convert to fraction form
    6,761.25/10,142.01 = 1,831.32/x
  3. Step 3: Cross multiply
    6,761.25x = 10,142.01 × 1,831.32
  4. Step 4: Simplify right side
    6,761.25x = 18,573,265.75
  5. Step 5: Solve for x
    x = 18,573,265.75/6,761.25
  6. Step 6: Final answer
    x = 2,747.02

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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.