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Finding the Fourth Proportional to 5,478.53, 7,570.94 and 4,149.92

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Solution

The fourth proportional to 5,478.53, 7,570.94 and 4,149.92 is: 5,734.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.53 : 7,570.94 = 4,149.92 : x
  2. Step 2: Convert to fraction form
    5,478.53/7,570.94 = 4,149.92/x
  3. Step 3: Cross multiply
    5,478.53x = 7,570.94 × 4,149.92
  4. Step 4: Simplify right side
    5,478.53x = 31,418,793.50
  5. Step 5: Solve for x
    x = 31,418,793.50/5,478.53
  6. Step 6: Final answer
    x = 5,734.90

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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.