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Finding the Fourth Proportional to 2,143.84, 3,201.44 and 1,832.44

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Solution

The fourth proportional to 2,143.84, 3,201.44 and 1,832.44 is: 2,736.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.84 : 3,201.44 = 1,832.44 : x
  2. Step 2: Convert to fraction form
    2,143.84/3,201.44 = 1,832.44/x
  3. Step 3: Cross multiply
    2,143.84x = 3,201.44 × 1,832.44
  4. Step 4: Simplify right side
    2,143.84x = 5,866,446.71
  5. Step 5: Solve for x
    x = 5,866,446.71/2,143.84
  6. Step 6: Final answer
    x = 2,736.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.