Home / 2,102.16-3,134.92-1,843.36

Finding the Fourth Proportional to 2,102.16, 3,134.92 and 1,843.36

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Solution

The fourth proportional to 2,102.16, 3,134.92 and 1,843.36 is: 2,748.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.16 : 3,134.92 = 1,843.36 : x
  2. Step 2: Convert to fraction form
    2,102.16/3,134.92 = 1,843.36/x
  3. Step 3: Cross multiply
    2,102.16x = 3,134.92 × 1,843.36
  4. Step 4: Simplify right side
    2,102.16x = 5,778,786.13
  5. Step 5: Solve for x
    x = 5,778,786.13/2,102.16
  6. Step 6: Final answer
    x = 2,748.98

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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.