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Finding the Fourth Proportional to 2,843.77, 3,924.41 and 1,648.99

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Solution

The fourth proportional to 2,843.77, 3,924.41 and 1,648.99 is: 2,275.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.77 : 3,924.41 = 1,648.99 : x
  2. Step 2: Convert to fraction form
    2,843.77/3,924.41 = 1,648.99/x
  3. Step 3: Cross multiply
    2,843.77x = 3,924.41 × 1,648.99
  4. Step 4: Simplify right side
    2,843.77x = 6,471,312.85
  5. Step 5: Solve for x
    x = 6,471,312.85/2,843.77
  6. Step 6: Final answer
    x = 2,275.61

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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.