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Finding the Fourth Proportional to 2,780.57, 4,173.03 and 1,221.65

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Solution

The fourth proportional to 2,780.57, 4,173.03 and 1,221.65 is: 1,833.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.57 : 4,173.03 = 1,221.65 : x
  2. Step 2: Convert to fraction form
    2,780.57/4,173.03 = 1,221.65/x
  3. Step 3: Cross multiply
    2,780.57x = 4,173.03 × 1,221.65
  4. Step 4: Simplify right side
    2,780.57x = 5,097,961.23
  5. Step 5: Solve for x
    x = 5,097,961.23/2,780.57
  6. Step 6: Final answer
    x = 1,833.42

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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.