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Finding the Fourth Proportional to 7,132.70, 10,694.96 and 2,749.60

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Solution

The fourth proportional to 7,132.70, 10,694.96 and 2,749.60 is: 4,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.70 : 10,694.96 = 2,749.60 : x
  2. Step 2: Convert to fraction form
    7,132.70/10,694.96 = 2,749.60/x
  3. Step 3: Cross multiply
    7,132.70x = 10,694.96 × 2,749.60
  4. Step 4: Simplify right side
    7,132.70x = 29,406,862.02
  5. Step 5: Solve for x
    x = 29,406,862.02/7,132.70
  6. Step 6: Final answer
    x = 4,122.82

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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.