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Finding the Fourth Proportional to 2,708.99, 3,737.78 and 1,589.87

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Solution

The fourth proportional to 2,708.99, 3,737.78 and 1,589.87 is: 2,193.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.99 : 3,737.78 = 1,589.87 : x
  2. Step 2: Convert to fraction form
    2,708.99/3,737.78 = 1,589.87/x
  3. Step 3: Cross multiply
    2,708.99x = 3,737.78 × 1,589.87
  4. Step 4: Simplify right side
    2,708.99x = 5,942,585.68
  5. Step 5: Solve for x
    x = 5,942,585.68/2,708.99
  6. Step 6: Final answer
    x = 2,193.65

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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.