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Finding the Fourth Proportional to 2,350, 3,244.22 and 1,605

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Solution

The fourth proportional to 2,350, 3,244.22 and 1,605 is: 2,215.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350 : 3,244.22 = 1,605 : x
  2. Step 2: Convert to fraction form
    2,350/3,244.22 = 1,605/x
  3. Step 3: Cross multiply
    2,350x = 3,244.22 × 1,605
  4. Step 4: Simplify right side
    2,350x = 5,206,973.10
  5. Step 5: Solve for x
    x = 5,206,973.10/2,350
  6. Step 6: Final answer
    x = 2,215.73

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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.