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Finding the Fourth Proportional to 7,807.97, 11,705.81 and 2,874.92

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Solution

The fourth proportional to 7,807.97, 11,705.81 and 2,874.92 is: 4,310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.97 : 11,705.81 = 2,874.92 : x
  2. Step 2: Convert to fraction form
    7,807.97/11,705.81 = 2,874.92/x
  3. Step 3: Cross multiply
    7,807.97x = 11,705.81 × 2,874.92
  4. Step 4: Simplify right side
    7,807.97x = 33,653,194.38
  5. Step 5: Solve for x
    x = 33,653,194.38/7,807.97
  6. Step 6: Final answer
    x = 4,310.11

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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.