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Finding the Fourth Proportional to 3,667.72, 5,061 and 2,342.20

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Solution

The fourth proportional to 3,667.72, 5,061 and 2,342.20 is: 3,231.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.72 : 5,061 = 2,342.20 : x
  2. Step 2: Convert to fraction form
    3,667.72/5,061 = 2,342.20/x
  3. Step 3: Cross multiply
    3,667.72x = 5,061 × 2,342.20
  4. Step 4: Simplify right side
    3,667.72x = 11,853,874.20
  5. Step 5: Solve for x
    x = 11,853,874.20/3,667.72
  6. Step 6: Final answer
    x = 3,231.95

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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.