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Finding the Fourth Proportional to 8,269.61, 11,378.71 and 8,072.78

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Solution

The fourth proportional to 8,269.61, 11,378.71 and 8,072.78 is: 11,107.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.61 : 11,378.71 = 8,072.78 : x
  2. Step 2: Convert to fraction form
    8,269.61/11,378.71 = 8,072.78/x
  3. Step 3: Cross multiply
    8,269.61x = 11,378.71 × 8,072.78
  4. Step 4: Simplify right side
    8,269.61x = 91,857,775.71
  5. Step 5: Solve for x
    x = 91,857,775.71/8,269.61
  6. Step 6: Final answer
    x = 11,107.88

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1.5x scale

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.