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Finding the Fourth Proportional to 3,698.61, 5,104.10 and 2,020.05

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Solution

The fourth proportional to 3,698.61, 5,104.10 and 2,020.05 is: 2,787.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.61 : 5,104.10 = 2,020.05 : x
  2. Step 2: Convert to fraction form
    3,698.61/5,104.10 = 2,020.05/x
  3. Step 3: Cross multiply
    3,698.61x = 5,104.10 × 2,020.05
  4. Step 4: Simplify right side
    3,698.61x = 10,310,537.21
  5. Step 5: Solve for x
    x = 10,310,537.21/3,698.61
  6. Step 6: Final answer
    x = 2,787.68

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1.5x scale

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.