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Finding the Fourth Proportional to 5,480.67, 8,213.31 and 4,242.42

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Solution

The fourth proportional to 5,480.67, 8,213.31 and 4,242.42 is: 6,357.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480.67 : 8,213.31 = 4,242.42 : x
  2. Step 2: Convert to fraction form
    5,480.67/8,213.31 = 4,242.42/x
  3. Step 3: Cross multiply
    5,480.67x = 8,213.31 × 4,242.42
  4. Step 4: Simplify right side
    5,480.67x = 34,844,310.61
  5. Step 5: Solve for x
    x = 34,844,310.61/5,480.67
  6. Step 6: Final answer
    x = 6,357.67

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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.