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Finding the Fourth Proportional to 3,149.80, 4,722.78 and 1,419.40

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Solution

The fourth proportional to 3,149.80, 4,722.78 and 1,419.40 is: 2,128.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.80 : 4,722.78 = 1,419.40 : x
  2. Step 2: Convert to fraction form
    3,149.80/4,722.78 = 1,419.40/x
  3. Step 3: Cross multiply
    3,149.80x = 4,722.78 × 1,419.40
  4. Step 4: Simplify right side
    3,149.80x = 6,703,513.93
  5. Step 5: Solve for x
    x = 6,703,513.93/3,149.80
  6. Step 6: Final answer
    x = 2,128.23

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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.