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Finding the Fourth Proportional to 8,176.50, 11,288.03 and 5,757.57

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Solution

The fourth proportional to 8,176.50, 11,288.03 and 5,757.57 is: 7,948.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.50 : 11,288.03 = 5,757.57 : x
  2. Step 2: Convert to fraction form
    8,176.50/11,288.03 = 5,757.57/x
  3. Step 3: Cross multiply
    8,176.50x = 11,288.03 × 5,757.57
  4. Step 4: Simplify right side
    8,176.50x = 64,991,594.10
  5. Step 5: Solve for x
    x = 64,991,594.10/8,176.50
  6. Step 6: Final answer
    x = 7,948.58

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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.