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Finding the Fourth Proportional to 7,860, 11,793.04 and 2,665.86

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Solution

The fourth proportional to 7,860, 11,793.04 and 2,665.86 is: 3,999.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860 : 11,793.04 = 2,665.86 : x
  2. Step 2: Convert to fraction form
    7,860/11,793.04 = 2,665.86/x
  3. Step 3: Cross multiply
    7,860x = 11,793.04 × 2,665.86
  4. Step 4: Simplify right side
    7,860x = 31,438,593.61
  5. Step 5: Solve for x
    x = 31,438,593.61/7,860
  6. Step 6: Final answer
    x = 3,999.82

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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.