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Finding the Fourth Proportional to 7,750, 10,687.76 and 5,978.80

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Solution

The fourth proportional to 7,750, 10,687.76 and 5,978.80 is: 8,245.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750 : 10,687.76 = 5,978.80 : x
  2. Step 2: Convert to fraction form
    7,750/10,687.76 = 5,978.80/x
  3. Step 3: Cross multiply
    7,750x = 10,687.76 × 5,978.80
  4. Step 4: Simplify right side
    7,750x = 63,899,979.49
  5. Step 5: Solve for x
    x = 63,899,979.49/7,750
  6. Step 6: Final answer
    x = 8,245.16

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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.