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Finding the Fourth Proportional to 7,859.77, 11,789.48 and 3,697.47

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Solution

The fourth proportional to 7,859.77, 11,789.48 and 3,697.47 is: 5,546.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.77 : 11,789.48 = 3,697.47 : x
  2. Step 2: Convert to fraction form
    7,859.77/11,789.48 = 3,697.47/x
  3. Step 3: Cross multiply
    7,859.77x = 11,789.48 × 3,697.47
  4. Step 4: Simplify right side
    7,859.77x = 43,591,248.62
  5. Step 5: Solve for x
    x = 43,591,248.62/7,859.77
  6. Step 6: Final answer
    x = 5,546.12

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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.