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Finding the Fourth Proportional to 2,699.68, 3,722.19 and 2,229.49

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Solution

The fourth proportional to 2,699.68, 3,722.19 and 2,229.49 is: 3,073.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.68 : 3,722.19 = 2,229.49 : x
  2. Step 2: Convert to fraction form
    2,699.68/3,722.19 = 2,229.49/x
  3. Step 3: Cross multiply
    2,699.68x = 3,722.19 × 2,229.49
  4. Step 4: Simplify right side
    2,699.68x = 8,298,585.38
  5. Step 5: Solve for x
    x = 8,298,585.38/2,699.68
  6. Step 6: Final answer
    x = 3,073.91

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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.