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Finding the Fourth Proportional to 7,744, 10,679.48 and 5,972.80

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Solution

The fourth proportional to 7,744, 10,679.48 and 5,972.80 is: 8,236.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744 : 10,679.48 = 5,972.80 : x
  2. Step 2: Convert to fraction form
    7,744/10,679.48 = 5,972.80/x
  3. Step 3: Cross multiply
    7,744x = 10,679.48 × 5,972.80
  4. Step 4: Simplify right side
    7,744x = 63,786,398.14
  5. Step 5: Solve for x
    x = 63,786,398.14/7,744
  6. Step 6: Final answer
    x = 8,236.88

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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.