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Finding the Fourth Proportional to 3,698.70, 5,104 and 2,020.08

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Solution

The fourth proportional to 3,698.70, 5,104 and 2,020.08 is: 2,787.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.70 : 5,104 = 2,020.08 : x
  2. Step 2: Convert to fraction form
    3,698.70/5,104 = 2,020.08/x
  3. Step 3: Cross multiply
    3,698.70x = 5,104 × 2,020.08
  4. Step 4: Simplify right side
    3,698.70x = 10,310,488.32
  5. Step 5: Solve for x
    x = 10,310,488.32/3,698.70
  6. Step 6: Final answer
    x = 2,787.60

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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.