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Finding the Fourth Proportional to 3,878.48, 5,849.42 and 3,809.36

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Solution

The fourth proportional to 3,878.48, 5,849.42 and 3,809.36 is: 5,745.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.48 : 5,849.42 = 3,809.36 : x
  2. Step 2: Convert to fraction form
    3,878.48/5,849.42 = 3,809.36/x
  3. Step 3: Cross multiply
    3,878.48x = 5,849.42 × 3,809.36
  4. Step 4: Simplify right side
    3,878.48x = 22,282,546.57
  5. Step 5: Solve for x
    x = 22,282,546.57/3,878.48
  6. Step 6: Final answer
    x = 5,745.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.