Home / 2,134.86-3,202.38-2,098.50

Finding the Fourth Proportional to 2,134.86, 3,202.38 and 2,098.50

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Solution

The fourth proportional to 2,134.86, 3,202.38 and 2,098.50 is: 3,147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.86 : 3,202.38 = 2,098.50 : x
  2. Step 2: Convert to fraction form
    2,134.86/3,202.38 = 2,098.50/x
  3. Step 3: Cross multiply
    2,134.86x = 3,202.38 × 2,098.50
  4. Step 4: Simplify right side
    2,134.86x = 6,720,194.43
  5. Step 5: Solve for x
    x = 6,720,194.43/2,134.86
  6. Step 6: Final answer
    x = 3,147.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.