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Finding the Fourth Proportional to 3,759.62, 5,637.86 and 1,419.22

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Solution

The fourth proportional to 3,759.62, 5,637.86 and 1,419.22 is: 2,128.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.62 : 5,637.86 = 1,419.22 : x
  2. Step 2: Convert to fraction form
    3,759.62/5,637.86 = 1,419.22/x
  3. Step 3: Cross multiply
    3,759.62x = 5,637.86 × 1,419.22
  4. Step 4: Simplify right side
    3,759.62x = 8,001,363.67
  5. Step 5: Solve for x
    x = 8,001,363.67/3,759.62
  6. Step 6: Final answer
    x = 2,128.24

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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.