Home / 2,117.88-3,171.96-1,998

Finding the Fourth Proportional to 2,117.88, 3,171.96 and 1,998

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Solution

The fourth proportional to 2,117.88, 3,171.96 and 1,998 is: 2,992.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.88 : 3,171.96 = 1,998 : x
  2. Step 2: Convert to fraction form
    2,117.88/3,171.96 = 1,998/x
  3. Step 3: Cross multiply
    2,117.88x = 3,171.96 × 1,998
  4. Step 4: Simplify right side
    2,117.88x = 6,337,576.08
  5. Step 5: Solve for x
    x = 6,337,576.08/2,117.88
  6. Step 6: Final answer
    x = 2,992.42

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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.