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Finding the Fourth Proportional to 7,791.84, 11,687.82 and 2,597.71

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Solution

The fourth proportional to 7,791.84, 11,687.82 and 2,597.71 is: 3,896.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.84 : 11,687.82 = 2,597.71 : x
  2. Step 2: Convert to fraction form
    7,791.84/11,687.82 = 2,597.71/x
  3. Step 3: Cross multiply
    7,791.84x = 11,687.82 × 2,597.71
  4. Step 4: Simplify right side
    7,791.84x = 30,361,566.89
  5. Step 5: Solve for x
    x = 30,361,566.89/7,791.84
  6. Step 6: Final answer
    x = 3,896.59

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1.5x scale

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.