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Finding the Fourth Proportional to 2,654.87, 3,981.83 and 1,193.76

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Solution

The fourth proportional to 2,654.87, 3,981.83 and 1,193.76 is: 1,790.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.87 : 3,981.83 = 1,193.76 : x
  2. Step 2: Convert to fraction form
    2,654.87/3,981.83 = 1,193.76/x
  3. Step 3: Cross multiply
    2,654.87x = 3,981.83 × 1,193.76
  4. Step 4: Simplify right side
    2,654.87x = 4,753,343.41
  5. Step 5: Solve for x
    x = 4,753,343.41/2,654.87
  6. Step 6: Final answer
    x = 1,790.43

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1.5x scale

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.