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Finding the Fourth Proportional to 2,149.88, 3,223.88 and 1,225.86

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Solution

The fourth proportional to 2,149.88, 3,223.88 and 1,225.86 is: 1,838.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.88 : 3,223.88 = 1,225.86 : x
  2. Step 2: Convert to fraction form
    2,149.88/3,223.88 = 1,225.86/x
  3. Step 3: Cross multiply
    2,149.88x = 3,223.88 × 1,225.86
  4. Step 4: Simplify right side
    2,149.88x = 3,952,025.54
  5. Step 5: Solve for x
    x = 3,952,025.54/2,149.88
  6. Step 6: Final answer
    x = 1,838.25

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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.