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Finding the Fourth Proportional to 5,180.91, 7,149.65 and 2,823.05

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Solution

The fourth proportional to 5,180.91, 7,149.65 and 2,823.05 is: 3,895.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.91 : 7,149.65 = 2,823.05 : x
  2. Step 2: Convert to fraction form
    5,180.91/7,149.65 = 2,823.05/x
  3. Step 3: Cross multiply
    5,180.91x = 7,149.65 × 2,823.05
  4. Step 4: Simplify right side
    5,180.91x = 20,183,769.57
  5. Step 5: Solve for x
    x = 20,183,769.57/5,180.91
  6. Step 6: Final answer
    x = 3,895.80

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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.