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Finding the Fourth Proportional to 3,872.93, 5,808.74 and 1,098.95

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Solution

The fourth proportional to 3,872.93, 5,808.74 and 1,098.95 is: 1,648.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.93 : 5,808.74 = 1,098.95 : x
  2. Step 2: Convert to fraction form
    3,872.93/5,808.74 = 1,098.95/x
  3. Step 3: Cross multiply
    3,872.93x = 5,808.74 × 1,098.95
  4. Step 4: Simplify right side
    3,872.93x = 6,383,480.28
  5. Step 5: Solve for x
    x = 6,383,480.28/3,872.93
  6. Step 6: Final answer
    x = 1,648.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.