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Finding the Fourth Proportional to 7,951.90, 11,909.39 and 6,967.75

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Solution

The fourth proportional to 7,951.90, 11,909.39 and 6,967.75 is: 10,435.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.90 : 11,909.39 = 6,967.75 : x
  2. Step 2: Convert to fraction form
    7,951.90/11,909.39 = 6,967.75/x
  3. Step 3: Cross multiply
    7,951.90x = 11,909.39 × 6,967.75
  4. Step 4: Simplify right side
    7,951.90x = 82,981,652.17
  5. Step 5: Solve for x
    x = 82,981,652.17/7,951.90
  6. Step 6: Final answer
    x = 10,435.45

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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.