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Finding the Fourth Proportional to 5,182.18, 7,769.76 and 1,671.13

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Solution

The fourth proportional to 5,182.18, 7,769.76 and 1,671.13 is: 2,505.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.18 : 7,769.76 = 1,671.13 : x
  2. Step 2: Convert to fraction form
    5,182.18/7,769.76 = 1,671.13/x
  3. Step 3: Cross multiply
    5,182.18x = 7,769.76 × 1,671.13
  4. Step 4: Simplify right side
    5,182.18x = 12,984,279.03
  5. Step 5: Solve for x
    x = 12,984,279.03/5,182.18
  6. Step 6: Final answer
    x = 2,505.56

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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.