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Finding the Fourth Proportional to 7,951.68, 11,914.56 and 6,299.28

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Solution

The fourth proportional to 7,951.68, 11,914.56 and 6,299.28 is: 9,438.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.68 : 11,914.56 = 6,299.28 : x
  2. Step 2: Convert to fraction form
    7,951.68/11,914.56 = 6,299.28/x
  3. Step 3: Cross multiply
    7,951.68x = 11,914.56 × 6,299.28
  4. Step 4: Simplify right side
    7,951.68x = 75,053,149.52
  5. Step 5: Solve for x
    x = 75,053,149.52/7,951.68
  6. Step 6: Final answer
    x = 9,438.65

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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.