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Finding the Fourth Proportional to 3,771.78, 5,208.48 and 2,282.23

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Solution

The fourth proportional to 3,771.78, 5,208.48 and 2,282.23 is: 3,151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.78 : 5,208.48 = 2,282.23 : x
  2. Step 2: Convert to fraction form
    3,771.78/5,208.48 = 2,282.23/x
  3. Step 3: Cross multiply
    3,771.78x = 5,208.48 × 2,282.23
  4. Step 4: Simplify right side
    3,771.78x = 11,886,920.10
  5. Step 5: Solve for x
    x = 11,886,920.10/3,771.78
  6. Step 6: Final answer
    x = 3,151.54

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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.