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Finding the Fourth Proportional to 5,452.81, 8,178 and 2,529.52

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Solution

The fourth proportional to 5,452.81, 8,178 and 2,529.52 is: 3,793.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452.81 : 8,178 = 2,529.52 : x
  2. Step 2: Convert to fraction form
    5,452.81/8,178 = 2,529.52/x
  3. Step 3: Cross multiply
    5,452.81x = 8,178 × 2,529.52
  4. Step 4: Simplify right side
    5,452.81x = 20,686,414.56
  5. Step 5: Solve for x
    x = 20,686,414.56/5,452.81
  6. Step 6: Final answer
    x = 3,793.72

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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.