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Finding the Fourth Proportional to 7,402.50, 11,113.50 and 6,791.22

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Solution

The fourth proportional to 7,402.50, 11,113.50 and 6,791.22 is: 10,195.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.50 : 11,113.50 = 6,791.22 : x
  2. Step 2: Convert to fraction form
    7,402.50/11,113.50 = 6,791.22/x
  3. Step 3: Cross multiply
    7,402.50x = 11,113.50 × 6,791.22
  4. Step 4: Simplify right side
    7,402.50x = 75,474,223.47
  5. Step 5: Solve for x
    x = 75,474,223.47/7,402.50
  6. Step 6: Final answer
    x = 10,195.77

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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.