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Finding the Fourth Proportional to 10,618.88, 15,931.64 and 8,286.84

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Solution

The fourth proportional to 10,618.88, 15,931.64 and 8,286.84 is: 12,432.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618.88 : 15,931.64 = 8,286.84 : x
  2. Step 2: Convert to fraction form
    10,618.88/15,931.64 = 8,286.84/x
  3. Step 3: Cross multiply
    10,618.88x = 15,931.64 × 8,286.84
  4. Step 4: Simplify right side
    10,618.88x = 132,022,951.62
  5. Step 5: Solve for x
    x = 132,022,951.62/10,618.88
  6. Step 6: Final answer
    x = 12,432.85

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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.