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Finding the Fourth Proportional to 7,807.92, 11,716.50 and 2,881.02

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Solution

The fourth proportional to 7,807.92, 11,716.50 and 2,881.02 is: 4,323.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.92 : 11,716.50 = 2,881.02 : x
  2. Step 2: Convert to fraction form
    7,807.92/11,716.50 = 2,881.02/x
  3. Step 3: Cross multiply
    7,807.92x = 11,716.50 × 2,881.02
  4. Step 4: Simplify right side
    7,807.92x = 33,755,470.83
  5. Step 5: Solve for x
    x = 33,755,470.83/7,807.92
  6. Step 6: Final answer
    x = 4,323.23

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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.