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Finding the Fourth Proportional to 2,884.87, 3,981.19 and 1,765.78

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Solution

The fourth proportional to 2,884.87, 3,981.19 and 1,765.78 is: 2,436.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.87 : 3,981.19 = 1,765.78 : x
  2. Step 2: Convert to fraction form
    2,884.87/3,981.19 = 1,765.78/x
  3. Step 3: Cross multiply
    2,884.87x = 3,981.19 × 1,765.78
  4. Step 4: Simplify right side
    2,884.87x = 7,029,905.68
  5. Step 5: Solve for x
    x = 7,029,905.68/2,884.87
  6. Step 6: Final answer
    x = 2,436.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.