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Finding the Fourth Proportional to 3,778.81, 5,664.31 and 2,736.23

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Solution

The fourth proportional to 3,778.81, 5,664.31 and 2,736.23 is: 4,101.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.81 : 5,664.31 = 2,736.23 : x
  2. Step 2: Convert to fraction form
    3,778.81/5,664.31 = 2,736.23/x
  3. Step 3: Cross multiply
    3,778.81x = 5,664.31 × 2,736.23
  4. Step 4: Simplify right side
    3,778.81x = 15,498,854.95
  5. Step 5: Solve for x
    x = 15,498,854.95/3,778.81
  6. Step 6: Final answer
    x = 4,101.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.