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Finding the Fourth Proportional to 7,978.80, 11,965.68 and 7,385.88

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Solution

The fourth proportional to 7,978.80, 11,965.68 and 7,385.88 is: 11,076.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.80 : 11,965.68 = 7,385.88 : x
  2. Step 2: Convert to fraction form
    7,978.80/11,965.68 = 7,385.88/x
  3. Step 3: Cross multiply
    7,978.80x = 11,965.68 × 7,385.88
  4. Step 4: Simplify right side
    7,978.80x = 88,377,076.60
  5. Step 5: Solve for x
    x = 88,377,076.60/7,978.80
  6. Step 6: Final answer
    x = 11,076.49

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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.