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Finding the Fourth Proportional to 2,811.84, 4,217.60 and 864.05

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Solution

The fourth proportional to 2,811.84, 4,217.60 and 864.05 is: 1,296.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.84 : 4,217.60 = 864.05 : x
  2. Step 2: Convert to fraction form
    2,811.84/4,217.60 = 864.05/x
  3. Step 3: Cross multiply
    2,811.84x = 4,217.60 × 864.05
  4. Step 4: Simplify right side
    2,811.84x = 3,644,198.35
  5. Step 5: Solve for x
    x = 3,644,198.35/2,811.84
  6. Step 6: Final answer
    x = 1,296.02

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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.