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Finding the Fourth Proportional to 2,708.79, 3,738.03 and 1,589.70

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Solution

The fourth proportional to 2,708.79, 3,738.03 and 1,589.70 is: 2,193.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.79 : 3,738.03 = 1,589.70 : x
  2. Step 2: Convert to fraction form
    2,708.79/3,738.03 = 1,589.70/x
  3. Step 3: Cross multiply
    2,708.79x = 3,738.03 × 1,589.70
  4. Step 4: Simplify right side
    2,708.79x = 5,942,346.29
  5. Step 5: Solve for x
    x = 5,942,346.29/2,708.79
  6. Step 6: Final answer
    x = 2,193.73

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1.5x scale

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.