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Finding the Fourth Proportional to 2,149.13, 3,223.65 and 815.18

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Solution

The fourth proportional to 2,149.13, 3,223.65 and 815.18 is: 1,222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.13 : 3,223.65 = 815.18 : x
  2. Step 2: Convert to fraction form
    2,149.13/3,223.65 = 815.18/x
  3. Step 3: Cross multiply
    2,149.13x = 3,223.65 × 815.18
  4. Step 4: Simplify right side
    2,149.13x = 2,627,855.01
  5. Step 5: Solve for x
    x = 2,627,855.01/2,149.13
  6. Step 6: Final answer
    x = 1,222.75

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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.