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Finding the Fourth Proportional to 7,175, 10,766.61 and 2,791.90

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Solution

The fourth proportional to 7,175, 10,766.61 and 2,791.90 is: 4,189.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175 : 10,766.61 = 2,791.90 : x
  2. Step 2: Convert to fraction form
    7,175/10,766.61 = 2,791.90/x
  3. Step 3: Cross multiply
    7,175x = 10,766.61 × 2,791.90
  4. Step 4: Simplify right side
    7,175x = 30,059,298.46
  5. Step 5: Solve for x
    x = 30,059,298.46/7,175
  6. Step 6: Final answer
    x = 4,189.45

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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.