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Finding the Fourth Proportional to 7,987.86, 11,987.44 and 2,793.78

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Solution

The fourth proportional to 7,987.86, 11,987.44 and 2,793.78 is: 4,192.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987.86 : 11,987.44 = 2,793.78 : x
  2. Step 2: Convert to fraction form
    7,987.86/11,987.44 = 2,793.78/x
  3. Step 3: Cross multiply
    7,987.86x = 11,987.44 × 2,793.78
  4. Step 4: Simplify right side
    7,987.86x = 33,490,270.12
  5. Step 5: Solve for x
    x = 33,490,270.12/7,987.86
  6. Step 6: Final answer
    x = 4,192.65

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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.