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Finding the Fourth Proportional to 12,791.98, 19,191.80 and 7,731.81

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Solution

The fourth proportional to 12,791.98, 19,191.80 and 7,731.81 is: 11,600.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,791.98 : 19,191.80 = 7,731.81 : x
  2. Step 2: Convert to fraction form
    12,791.98/19,191.80 = 7,731.81/x
  3. Step 3: Cross multiply
    12,791.98x = 19,191.80 × 7,731.81
  4. Step 4: Simplify right side
    12,791.98x = 148,387,351.16
  5. Step 5: Solve for x
    x = 148,387,351.16/12,791.98
  6. Step 6: Final answer
    x = 11,600.03

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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.