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Finding the Fourth Proportional to 7,791.76, 11,687.52 and 1,948.36

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Solution

The fourth proportional to 7,791.76, 11,687.52 and 1,948.36 is: 2,922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.76 : 11,687.52 = 1,948.36 : x
  2. Step 2: Convert to fraction form
    7,791.76/11,687.52 = 1,948.36/x
  3. Step 3: Cross multiply
    7,791.76x = 11,687.52 × 1,948.36
  4. Step 4: Simplify right side
    7,791.76x = 22,771,496.47
  5. Step 5: Solve for x
    x = 22,771,496.47/7,791.76
  6. Step 6: Final answer
    x = 2,922.51

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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.