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Finding the Fourth Proportional to 3,199, 4,414.62 and 1,872.64

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Solution

The fourth proportional to 3,199, 4,414.62 and 1,872.64 is: 2,584.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199 : 4,414.62 = 1,872.64 : x
  2. Step 2: Convert to fraction form
    3,199/4,414.62 = 1,872.64/x
  3. Step 3: Cross multiply
    3,199x = 4,414.62 × 1,872.64
  4. Step 4: Simplify right side
    3,199x = 8,266,994.00
  5. Step 5: Solve for x
    x = 8,266,994.00/3,199
  6. Step 6: Final answer
    x = 2,584.24

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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.