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Finding the Fourth Proportional to 11,412.35, 15,747.48 and 6,375.95

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Solution

The fourth proportional to 11,412.35, 15,747.48 and 6,375.95 is: 8,797.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.35 : 15,747.48 = 6,375.95 : x
  2. Step 2: Convert to fraction form
    11,412.35/15,747.48 = 6,375.95/x
  3. Step 3: Cross multiply
    11,412.35x = 15,747.48 × 6,375.95
  4. Step 4: Simplify right side
    11,412.35x = 100,405,121.68
  5. Step 5: Solve for x
    x = 100,405,121.68/11,412.35
  6. Step 6: Final answer
    x = 8,797.93

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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.