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Finding the Fourth Proportional to 8,474, 11,689.80 and 6,377.36

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Solution

The fourth proportional to 8,474, 11,689.80 and 6,377.36 is: 8,797.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474 : 11,689.80 = 6,377.36 : x
  2. Step 2: Convert to fraction form
    8,474/11,689.80 = 6,377.36/x
  3. Step 3: Cross multiply
    8,474x = 11,689.80 × 6,377.36
  4. Step 4: Simplify right side
    8,474x = 74,550,062.93
  5. Step 5: Solve for x
    x = 74,550,062.93/8,474
  6. Step 6: Final answer
    x = 8,797.51

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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.