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Finding the Fourth Proportional to 2,786.81, 4,171.10 and 1,551.15

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Solution

The fourth proportional to 2,786.81, 4,171.10 and 1,551.15 is: 2,321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.81 : 4,171.10 = 1,551.15 : x
  2. Step 2: Convert to fraction form
    2,786.81/4,171.10 = 1,551.15/x
  3. Step 3: Cross multiply
    2,786.81x = 4,171.10 × 1,551.15
  4. Step 4: Simplify right side
    2,786.81x = 6,469,994.01
  5. Step 5: Solve for x
    x = 6,469,994.01/2,786.81
  6. Step 6: Final answer
    x = 2,321.65

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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.