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Finding the Fourth Proportional to 3,908.60, 5,398.02 and 3,169.88

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Solution

The fourth proportional to 3,908.60, 5,398.02 and 3,169.88 is: 4,377.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.60 : 5,398.02 = 3,169.88 : x
  2. Step 2: Convert to fraction form
    3,908.60/5,398.02 = 3,169.88/x
  3. Step 3: Cross multiply
    3,908.60x = 5,398.02 × 3,169.88
  4. Step 4: Simplify right side
    3,908.60x = 17,111,075.64
  5. Step 5: Solve for x
    x = 17,111,075.64/3,908.60
  6. Step 6: Final answer
    x = 4,377.80

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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.