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Finding the Fourth Proportional to 5,189.59, 7,161.24 and 2,951.70

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Solution

The fourth proportional to 5,189.59, 7,161.24 and 2,951.70 is: 4,073.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.59 : 7,161.24 = 2,951.70 : x
  2. Step 2: Convert to fraction form
    5,189.59/7,161.24 = 2,951.70/x
  3. Step 3: Cross multiply
    5,189.59x = 7,161.24 × 2,951.70
  4. Step 4: Simplify right side
    5,189.59x = 21,137,832.11
  5. Step 5: Solve for x
    x = 21,137,832.11/5,189.59
  6. Step 6: Final answer
    x = 4,073.12

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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.