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Finding the Fourth Proportional to 3,908, 5,391.97 and 2,228.80

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Solution

The fourth proportional to 3,908, 5,391.97 and 2,228.80 is: 3,075.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908 : 5,391.97 = 2,228.80 : x
  2. Step 2: Convert to fraction form
    3,908/5,391.97 = 2,228.80/x
  3. Step 3: Cross multiply
    3,908x = 5,391.97 × 2,228.80
  4. Step 4: Simplify right side
    3,908x = 12,017,595.78
  5. Step 5: Solve for x
    x = 12,017,595.78/3,908
  6. Step 6: Final answer
    x = 3,075.13

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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.