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Finding the Fourth Proportional to 8,296.13, 12,471.54 and 7,687.42

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Solution

The fourth proportional to 8,296.13, 12,471.54 and 7,687.42 is: 11,556.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.13 : 12,471.54 = 7,687.42 : x
  2. Step 2: Convert to fraction form
    8,296.13/12,471.54 = 7,687.42/x
  3. Step 3: Cross multiply
    8,296.13x = 12,471.54 × 7,687.42
  4. Step 4: Simplify right side
    8,296.13x = 95,873,966.03
  5. Step 5: Solve for x
    x = 95,873,966.03/8,296.13
  6. Step 6: Final answer
    x = 11,556.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.