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Finding the Fourth Proportional to 7,391.57, 10,200.60 and 4,204.78

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Solution

The fourth proportional to 7,391.57, 10,200.60 and 4,204.78 is: 5,802.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391.57 : 10,200.60 = 4,204.78 : x
  2. Step 2: Convert to fraction form
    7,391.57/10,200.60 = 4,204.78/x
  3. Step 3: Cross multiply
    7,391.57x = 10,200.60 × 4,204.78
  4. Step 4: Simplify right side
    7,391.57x = 42,891,278.87
  5. Step 5: Solve for x
    x = 42,891,278.87/7,391.57
  6. Step 6: Final answer
    x = 5,802.73

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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.