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Finding the Fourth Proportional to 2,223.12, 3,334.87 and 641.85

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Solution

The fourth proportional to 2,223.12, 3,334.87 and 641.85 is: 962.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.12 : 3,334.87 = 641.85 : x
  2. Step 2: Convert to fraction form
    2,223.12/3,334.87 = 641.85/x
  3. Step 3: Cross multiply
    2,223.12x = 3,334.87 × 641.85
  4. Step 4: Simplify right side
    2,223.12x = 2,140,486.31
  5. Step 5: Solve for x
    x = 2,140,486.31/2,223.12
  6. Step 6: Final answer
    x = 962.83

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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.