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Finding the Fourth Proportional to 11,791.76, 17,710.20 and 7,418

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Solution

The fourth proportional to 11,791.76, 17,710.20 and 7,418 is: 11,141.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791.76 : 17,710.20 = 7,418 : x
  2. Step 2: Convert to fraction form
    11,791.76/17,710.20 = 7,418/x
  3. Step 3: Cross multiply
    11,791.76x = 17,710.20 × 7,418
  4. Step 4: Simplify right side
    11,791.76x = 131,374,263.60
  5. Step 5: Solve for x
    x = 131,374,263.60/11,791.76
  6. Step 6: Final answer
    x = 11,141.19

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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.