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Finding the Fourth Proportional to 7,942, 11,918.46 and 2,747.88

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Solution

The fourth proportional to 7,942, 11,918.46 and 2,747.88 is: 4,123.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,942 : 11,918.46 = 2,747.88 : x
  2. Step 2: Convert to fraction form
    7,942/11,918.46 = 2,747.88/x
  3. Step 3: Cross multiply
    7,942x = 11,918.46 × 2,747.88
  4. Step 4: Simplify right side
    7,942x = 32,750,497.86
  5. Step 5: Solve for x
    x = 32,750,497.86/7,942
  6. Step 6: Final answer
    x = 4,123.71

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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.