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Finding the Fourth Proportional to 6,991.56, 9,648.30 and 4,197

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Solution

The fourth proportional to 6,991.56, 9,648.30 and 4,197 is: 5,791.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.56 : 9,648.30 = 4,197 : x
  2. Step 2: Convert to fraction form
    6,991.56/9,648.30 = 4,197/x
  3. Step 3: Cross multiply
    6,991.56x = 9,648.30 × 4,197
  4. Step 4: Simplify right side
    6,991.56x = 40,493,915.10
  5. Step 5: Solve for x
    x = 40,493,915.10/6,991.56
  6. Step 6: Final answer
    x = 5,791.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.