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Finding the Fourth Proportional to 2,843.04, 3,922.31 and 2,098.77

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Solution

The fourth proportional to 2,843.04, 3,922.31 and 2,098.77 is: 2,895.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.04 : 3,922.31 = 2,098.77 : x
  2. Step 2: Convert to fraction form
    2,843.04/3,922.31 = 2,098.77/x
  3. Step 3: Cross multiply
    2,843.04x = 3,922.31 × 2,098.77
  4. Step 4: Simplify right side
    2,843.04x = 8,232,016.06
  5. Step 5: Solve for x
    x = 8,232,016.06/2,843.04
  6. Step 6: Final answer
    x = 2,895.50

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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.