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Finding the Fourth Proportional to 7,202.60, 10,803.60 and 2,275.78

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Solution

The fourth proportional to 7,202.60, 10,803.60 and 2,275.78 is: 3,413.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.60 : 10,803.60 = 2,275.78 : x
  2. Step 2: Convert to fraction form
    7,202.60/10,803.60 = 2,275.78/x
  3. Step 3: Cross multiply
    7,202.60x = 10,803.60 × 2,275.78
  4. Step 4: Simplify right side
    7,202.60x = 24,586,616.81
  5. Step 5: Solve for x
    x = 24,586,616.81/7,202.60
  6. Step 6: Final answer
    x = 3,413.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.