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Finding the Fourth Proportional to 2,101.85, 3,153.23 and 641.11

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Solution

The fourth proportional to 2,101.85, 3,153.23 and 641.11 is: 961.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.85 : 3,153.23 = 641.11 : x
  2. Step 2: Convert to fraction form
    2,101.85/3,153.23 = 641.11/x
  3. Step 3: Cross multiply
    2,101.85x = 3,153.23 × 641.11
  4. Step 4: Simplify right side
    2,101.85x = 2,021,567.29
  5. Step 5: Solve for x
    x = 2,021,567.29/2,101.85
  6. Step 6: Final answer
    x = 961.81

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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.