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Finding the Fourth Proportional to 2,811.84, 4,216.14 and 1,078.44

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Solution

The fourth proportional to 2,811.84, 4,216.14 and 1,078.44 is: 1,617.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.84 : 4,216.14 = 1,078.44 : x
  2. Step 2: Convert to fraction form
    2,811.84/4,216.14 = 1,078.44/x
  3. Step 3: Cross multiply
    2,811.84x = 4,216.14 × 1,078.44
  4. Step 4: Simplify right side
    2,811.84x = 4,546,854.02
  5. Step 5: Solve for x
    x = 4,546,854.02/2,811.84
  6. Step 6: Final answer
    x = 1,617.04

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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.