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Finding the Fourth Proportional to 3,738.91, 5,604.90 and 1,657.81

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Solution

The fourth proportional to 3,738.91, 5,604.90 and 1,657.81 is: 2,485.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.91 : 5,604.90 = 1,657.81 : x
  2. Step 2: Convert to fraction form
    3,738.91/5,604.90 = 1,657.81/x
  3. Step 3: Cross multiply
    3,738.91x = 5,604.90 × 1,657.81
  4. Step 4: Simplify right side
    3,738.91x = 9,291,859.27
  5. Step 5: Solve for x
    x = 9,291,859.27/3,738.91
  6. Step 6: Final answer
    x = 2,485.18

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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.