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Finding the Fourth Proportional to 4,149, 6,223.50 and 1,229.35

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Solution

The fourth proportional to 4,149, 6,223.50 and 1,229.35 is: 1,844.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149 : 6,223.50 = 1,229.35 : x
  2. Step 2: Convert to fraction form
    4,149/6,223.50 = 1,229.35/x
  3. Step 3: Cross multiply
    4,149x = 6,223.50 × 1,229.35
  4. Step 4: Simplify right side
    4,149x = 7,650,859.73
  5. Step 5: Solve for x
    x = 7,650,859.73/4,149
  6. Step 6: Final answer
    x = 1,844.03

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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.