Home / 8,116.40-12,105.28-7,976

Finding the Fourth Proportional to 8,116.40, 12,105.28 and 7,976

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Solution

The fourth proportional to 8,116.40, 12,105.28 and 7,976 is: 11,895.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.40 : 12,105.28 = 7,976 : x
  2. Step 2: Convert to fraction form
    8,116.40/12,105.28 = 7,976/x
  3. Step 3: Cross multiply
    8,116.40x = 12,105.28 × 7,976
  4. Step 4: Simplify right side
    8,116.40x = 96,551,713.28
  5. Step 5: Solve for x
    x = 96,551,713.28/8,116.40
  6. Step 6: Final answer
    x = 11,895.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.