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Finding the Fourth Proportional to 3,627, 5,005.67 and 2,229.75

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Solution

The fourth proportional to 3,627, 5,005.67 and 2,229.75 is: 3,077.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627 : 5,005.67 = 2,229.75 : x
  2. Step 2: Convert to fraction form
    3,627/5,005.67 = 2,229.75/x
  3. Step 3: Cross multiply
    3,627x = 5,005.67 × 2,229.75
  4. Step 4: Simplify right side
    3,627x = 11,161,381.53
  5. Step 5: Solve for x
    x = 11,161,381.53/3,627
  6. Step 6: Final answer
    x = 3,077.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.