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Finding the Fourth Proportional to 3,772.70, 5,206.38 and 2,280.42

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Solution

The fourth proportional to 3,772.70, 5,206.38 and 2,280.42 is: 3,147.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.70 : 5,206.38 = 2,280.42 : x
  2. Step 2: Convert to fraction form
    3,772.70/5,206.38 = 2,280.42/x
  3. Step 3: Cross multiply
    3,772.70x = 5,206.38 × 2,280.42
  4. Step 4: Simplify right side
    3,772.70x = 11,872,733.08
  5. Step 5: Solve for x
    x = 11,872,733.08/3,772.70
  6. Step 6: Final answer
    x = 3,147.01

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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.