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Finding the Fourth Proportional to 7,791.88, 11,686.05 and 2,243.98

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Solution

The fourth proportional to 7,791.88, 11,686.05 and 2,243.98 is: 3,365.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.88 : 11,686.05 = 2,243.98 : x
  2. Step 2: Convert to fraction form
    7,791.88/11,686.05 = 2,243.98/x
  3. Step 3: Cross multiply
    7,791.88x = 11,686.05 × 2,243.98
  4. Step 4: Simplify right side
    7,791.88x = 26,223,262.48
  5. Step 5: Solve for x
    x = 26,223,262.48/7,791.88
  6. Step 6: Final answer
    x = 3,365.46

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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.