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Finding the Fourth Proportional to 5,650.72, 7,793.84 and 3,882.40

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Solution

The fourth proportional to 5,650.72, 7,793.84 and 3,882.40 is: 5,354.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,650.72 : 7,793.84 = 3,882.40 : x
  2. Step 2: Convert to fraction form
    5,650.72/7,793.84 = 3,882.40/x
  3. Step 3: Cross multiply
    5,650.72x = 7,793.84 × 3,882.40
  4. Step 4: Simplify right side
    5,650.72x = 30,258,804.42
  5. Step 5: Solve for x
    x = 30,258,804.42/5,650.72
  6. Step 6: Final answer
    x = 5,354.86

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