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Finding the Fourth Proportional to 3,149.57, 4,722.74 and 1,417.25

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Solution

The fourth proportional to 3,149.57, 4,722.74 and 1,417.25 is: 2,125.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.57 : 4,722.74 = 1,417.25 : x
  2. Step 2: Convert to fraction form
    3,149.57/4,722.74 = 1,417.25/x
  3. Step 3: Cross multiply
    3,149.57x = 4,722.74 × 1,417.25
  4. Step 4: Simplify right side
    3,149.57x = 6,693,296.18
  5. Step 5: Solve for x
    x = 6,693,296.18/3,149.57
  6. Step 6: Final answer
    x = 2,125.15

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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.