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Finding the Fourth Proportional to 2,782, 4,171.38 and 1,221.94

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Solution

The fourth proportional to 2,782, 4,171.38 and 1,221.94 is: 1,832.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782 : 4,171.38 = 1,221.94 : x
  2. Step 2: Convert to fraction form
    2,782/4,171.38 = 1,221.94/x
  3. Step 3: Cross multiply
    2,782x = 4,171.38 × 1,221.94
  4. Step 4: Simplify right side
    2,782x = 5,097,176.08
  5. Step 5: Solve for x
    x = 5,097,176.08/2,782
  6. Step 6: Final answer
    x = 1,832.20

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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.