Home / 2,147.08-3,221.82-849.46

Finding the Fourth Proportional to 2,147.08, 3,221.82 and 849.46

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Solution

The fourth proportional to 2,147.08, 3,221.82 and 849.46 is: 1,274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.08 : 3,221.82 = 849.46 : x
  2. Step 2: Convert to fraction form
    2,147.08/3,221.82 = 849.46/x
  3. Step 3: Cross multiply
    2,147.08x = 3,221.82 × 849.46
  4. Step 4: Simplify right side
    2,147.08x = 2,736,807.22
  5. Step 5: Solve for x
    x = 2,736,807.22/2,147.08
  6. Step 6: Final answer
    x = 1,274.66

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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.