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Finding the Fourth Proportional to 7,857.32, 11,789.10 and 3,239.24

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Solution

The fourth proportional to 7,857.32, 11,789.10 and 3,239.24 is: 4,860.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.32 : 11,789.10 = 3,239.24 : x
  2. Step 2: Convert to fraction form
    7,857.32/11,789.10 = 3,239.24/x
  3. Step 3: Cross multiply
    7,857.32x = 11,789.10 × 3,239.24
  4. Step 4: Simplify right side
    7,857.32x = 38,187,724.28
  5. Step 5: Solve for x
    x = 38,187,724.28/7,857.32
  6. Step 6: Final answer
    x = 4,860.15

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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.