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Finding the Fourth Proportional to 8,134, 11,224.92 and 6,870

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Solution

The fourth proportional to 8,134, 11,224.92 and 6,870 is: 9,480.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134 : 11,224.92 = 6,870 : x
  2. Step 2: Convert to fraction form
    8,134/11,224.92 = 6,870/x
  3. Step 3: Cross multiply
    8,134x = 11,224.92 × 6,870
  4. Step 4: Simplify right side
    8,134x = 77,115,200.40
  5. Step 5: Solve for x
    x = 77,115,200.40/8,134
  6. Step 6: Final answer
    x = 9,480.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.