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Finding the Fourth Proportional to 3,679, 5,077.38 and 2,282.20

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Solution

The fourth proportional to 3,679, 5,077.38 and 2,282.20 is: 3,149.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679 : 5,077.38 = 2,282.20 : x
  2. Step 2: Convert to fraction form
    3,679/5,077.38 = 2,282.20/x
  3. Step 3: Cross multiply
    3,679x = 5,077.38 × 2,282.20
  4. Step 4: Simplify right side
    3,679x = 11,587,596.64
  5. Step 5: Solve for x
    x = 11,587,596.64/3,679
  6. Step 6: Final answer
    x = 3,149.66

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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.