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Finding the Fourth Proportional to 6,647.67, 9,961.79 and 2,948.81

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Solution

The fourth proportional to 6,647.67, 9,961.79 and 2,948.81 is: 4,418.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.67 : 9,961.79 = 2,948.81 : x
  2. Step 2: Convert to fraction form
    6,647.67/9,961.79 = 2,948.81/x
  3. Step 3: Cross multiply
    6,647.67x = 9,961.79 × 2,948.81
  4. Step 4: Simplify right side
    6,647.67x = 29,375,361.42
  5. Step 5: Solve for x
    x = 29,375,361.42/6,647.67
  6. Step 6: Final answer
    x = 4,418.90

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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.