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Finding the Fourth Proportional to 5,187.67, 7,157.96 and 2,949.16

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Solution

The fourth proportional to 5,187.67, 7,157.96 and 2,949.16 is: 4,069.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.67 : 7,157.96 = 2,949.16 : x
  2. Step 2: Convert to fraction form
    5,187.67/7,157.96 = 2,949.16/x
  3. Step 3: Cross multiply
    5,187.67x = 7,157.96 × 2,949.16
  4. Step 4: Simplify right side
    5,187.67x = 21,109,933.52
  5. Step 5: Solve for x
    x = 21,109,933.52/5,187.67
  6. Step 6: Final answer
    x = 4,069.26

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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.