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Finding the Fourth Proportional to 8,839.14, 13,255.88 and 8,256.75

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Solution

The fourth proportional to 8,839.14, 13,255.88 and 8,256.75 is: 12,382.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,839.14 : 13,255.88 = 8,256.75 : x
  2. Step 2: Convert to fraction form
    8,839.14/13,255.88 = 8,256.75/x
  3. Step 3: Cross multiply
    8,839.14x = 13,255.88 × 8,256.75
  4. Step 4: Simplify right side
    8,839.14x = 109,450,445.91
  5. Step 5: Solve for x
    x = 109,450,445.91/8,839.14
  6. Step 6: Final answer
    x = 12,382.48

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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.