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Finding the Fourth Proportional to 9,375.14, 12,904.82 and 8,489.41

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Solution

The fourth proportional to 9,375.14, 12,904.82 and 8,489.41 is: 11,685.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,375.14 : 12,904.82 = 8,489.41 : x
  2. Step 2: Convert to fraction form
    9,375.14/12,904.82 = 8,489.41/x
  3. Step 3: Cross multiply
    9,375.14x = 12,904.82 × 8,489.41
  4. Step 4: Simplify right side
    9,375.14x = 109,554,265.08
  5. Step 5: Solve for x
    x = 109,554,265.08/9,375.14
  6. Step 6: Final answer
    x = 11,685.61

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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.