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Finding the Fourth Proportional to 2,843.78, 3,924.42 and 1,649.00

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Solution

The fourth proportional to 2,843.78, 3,924.42 and 1,649.00 is: 2,275.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.78 : 3,924.42 = 1,649.00 : x
  2. Step 2: Convert to fraction form
    2,843.78/3,924.42 = 1,649.00/x
  3. Step 3: Cross multiply
    2,843.78x = 3,924.42 × 1,649.00
  4. Step 4: Simplify right side
    2,843.78x = 6,471,359.41
  5. Step 5: Solve for x
    x = 6,471,359.41/2,843.78
  6. Step 6: Final answer
    x = 2,275.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.