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Finding the Fourth Proportional to 7,802.67, 11,694.15 and 3,414.90

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Solution

The fourth proportional to 7,802.67, 11,694.15 and 3,414.90 is: 5,118.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.67 : 11,694.15 = 3,414.90 : x
  2. Step 2: Convert to fraction form
    7,802.67/11,694.15 = 3,414.90/x
  3. Step 3: Cross multiply
    7,802.67x = 11,694.15 × 3,414.90
  4. Step 4: Simplify right side
    7,802.67x = 39,934,352.84
  5. Step 5: Solve for x
    x = 39,934,352.84/7,802.67
  6. Step 6: Final answer
    x = 5,118.04

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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.