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Finding the Fourth Proportional to 2,786.84, 4,181.88 and 1,055.60

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Solution

The fourth proportional to 2,786.84, 4,181.88 and 1,055.60 is: 1,584.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.84 : 4,181.88 = 1,055.60 : x
  2. Step 2: Convert to fraction form
    2,786.84/4,181.88 = 1,055.60/x
  3. Step 3: Cross multiply
    2,786.84x = 4,181.88 × 1,055.60
  4. Step 4: Simplify right side
    2,786.84x = 4,414,392.53
  5. Step 5: Solve for x
    x = 4,414,392.53/2,786.84
  6. Step 6: Final answer
    x = 1,584.01

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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.