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Finding the Fourth Proportional to 2,402.25, 3,308.09 and 2,301.09

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Solution

The fourth proportional to 2,402.25, 3,308.09 and 2,301.09 is: 3,168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.25 : 3,308.09 = 2,301.09 : x
  2. Step 2: Convert to fraction form
    2,402.25/3,308.09 = 2,301.09/x
  3. Step 3: Cross multiply
    2,402.25x = 3,308.09 × 2,301.09
  4. Step 4: Simplify right side
    2,402.25x = 7,612,201.31
  5. Step 5: Solve for x
    x = 7,612,201.31/2,402.25
  6. Step 6: Final answer
    x = 3,168.78

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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.