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Finding the Fourth Proportional to 3,759.54, 5,637.81 and 1,161.78

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Solution

The fourth proportional to 3,759.54, 5,637.81 and 1,161.78 is: 1,742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.54 : 5,637.81 = 1,161.78 : x
  2. Step 2: Convert to fraction form
    3,759.54/5,637.81 = 1,161.78/x
  3. Step 3: Cross multiply
    3,759.54x = 5,637.81 × 1,161.78
  4. Step 4: Simplify right side
    3,759.54x = 6,549,894.90
  5. Step 5: Solve for x
    x = 6,549,894.90/3,759.54
  6. Step 6: Final answer
    x = 1,742.21

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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.