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Finding the Fourth Proportional to 2,133.22, 2,942.80 and 1,837.97

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Solution

The fourth proportional to 2,133.22, 2,942.80 and 1,837.97 is: 2,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.22 : 2,942.80 = 1,837.97 : x
  2. Step 2: Convert to fraction form
    2,133.22/2,942.80 = 1,837.97/x
  3. Step 3: Cross multiply
    2,133.22x = 2,942.80 × 1,837.97
  4. Step 4: Simplify right side
    2,133.22x = 5,408,780.88
  5. Step 5: Solve for x
    x = 5,408,780.88/2,133.22
  6. Step 6: Final answer
    x = 2,535.50

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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.