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Finding the Fourth Proportional to 7,791.66, 11,689.11 and 3,407.94

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Solution

The fourth proportional to 7,791.66, 11,689.11 and 3,407.94 is: 5,112.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.66 : 11,689.11 = 3,407.94 : x
  2. Step 2: Convert to fraction form
    7,791.66/11,689.11 = 3,407.94/x
  3. Step 3: Cross multiply
    7,791.66x = 11,689.11 × 3,407.94
  4. Step 4: Simplify right side
    7,791.66x = 39,835,785.53
  5. Step 5: Solve for x
    x = 39,835,785.53/7,791.66
  6. Step 6: Final answer
    x = 5,112.62

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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.