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Finding the Fourth Proportional to 7,906.91, 11,866.48 and 2,981.03

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Solution

The fourth proportional to 7,906.91, 11,866.48 and 2,981.03 is: 4,473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.91 : 11,866.48 = 2,981.03 : x
  2. Step 2: Convert to fraction form
    7,906.91/11,866.48 = 2,981.03/x
  3. Step 3: Cross multiply
    7,906.91x = 11,866.48 × 2,981.03
  4. Step 4: Simplify right side
    7,906.91x = 35,374,332.87
  5. Step 5: Solve for x
    x = 35,374,332.87/7,906.91
  6. Step 6: Final answer
    x = 4,473.85

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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.