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Finding the Fourth Proportional to 7,132.72, 10,700.10 and 2,202.78

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Solution

The fourth proportional to 7,132.72, 10,700.10 and 2,202.78 is: 3,304.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.72 : 10,700.10 = 2,202.78 : x
  2. Step 2: Convert to fraction form
    7,132.72/10,700.10 = 2,202.78/x
  3. Step 3: Cross multiply
    7,132.72x = 10,700.10 × 2,202.78
  4. Step 4: Simplify right side
    7,132.72x = 23,569,901.76
  5. Step 5: Solve for x
    x = 23,569,901.76/7,132.72
  6. Step 6: Final answer
    x = 3,304.48

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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.