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Finding the Fourth Proportional to 2,818.48, 4,221.24 and 1,843.24

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Solution

The fourth proportional to 2,818.48, 4,221.24 and 1,843.24 is: 2,760.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.48 : 4,221.24 = 1,843.24 : x
  2. Step 2: Convert to fraction form
    2,818.48/4,221.24 = 1,843.24/x
  3. Step 3: Cross multiply
    2,818.48x = 4,221.24 × 1,843.24
  4. Step 4: Simplify right side
    2,818.48x = 7,780,758.42
  5. Step 5: Solve for x
    x = 7,780,758.42/2,818.48
  6. Step 6: Final answer
    x = 2,760.62

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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.