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Finding the Fourth Proportional to 9,115.84, 13,680.42 and 8,571.52

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Solution

The fourth proportional to 9,115.84, 13,680.42 and 8,571.52 is: 12,863.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.84 : 13,680.42 = 8,571.52 : x
  2. Step 2: Convert to fraction form
    9,115.84/13,680.42 = 8,571.52/x
  3. Step 3: Cross multiply
    9,115.84x = 13,680.42 × 8,571.52
  4. Step 4: Simplify right side
    9,115.84x = 117,261,993.64
  5. Step 5: Solve for x
    x = 117,261,993.64/9,115.84
  6. Step 6: Final answer
    x = 12,863.54

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1.5x scale

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.