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Finding the Fourth Proportional to 7,909.94, 11,864.15 and 3,230.12

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Solution

The fourth proportional to 7,909.94, 11,864.15 and 3,230.12 is: 4,844.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.94 : 11,864.15 = 3,230.12 : x
  2. Step 2: Convert to fraction form
    7,909.94/11,864.15 = 3,230.12/x
  3. Step 3: Cross multiply
    7,909.94x = 11,864.15 × 3,230.12
  4. Step 4: Simplify right side
    7,909.94x = 38,322,552.73
  5. Step 5: Solve for x
    x = 38,322,552.73/7,909.94
  6. Step 6: Final answer
    x = 4,844.86

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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.