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Finding the Fourth Proportional to 2,326.78, 3,489.90 and 2,198.26

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Solution

The fourth proportional to 2,326.78, 3,489.90 and 2,198.26 is: 3,297.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.78 : 3,489.90 = 2,198.26 : x
  2. Step 2: Convert to fraction form
    2,326.78/3,489.90 = 2,198.26/x
  3. Step 3: Cross multiply
    2,326.78x = 3,489.90 × 2,198.26
  4. Step 4: Simplify right side
    2,326.78x = 7,671,707.57
  5. Step 5: Solve for x
    x = 7,671,707.57/2,326.78
  6. Step 6: Final answer
    x = 3,297.13

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1.5x scale

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.