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Finding the Fourth Proportional to 2,788.84, 4,181.64 and 1,055.44

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Solution

The fourth proportional to 2,788.84, 4,181.64 and 1,055.44 is: 1,582.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.84 : 4,181.64 = 1,055.44 : x
  2. Step 2: Convert to fraction form
    2,788.84/4,181.64 = 1,055.44/x
  3. Step 3: Cross multiply
    2,788.84x = 4,181.64 × 1,055.44
  4. Step 4: Simplify right side
    2,788.84x = 4,413,470.12
  5. Step 5: Solve for x
    x = 4,413,470.12/2,788.84
  6. Step 6: Final answer
    x = 1,582.55

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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.