Home / 2,148.48-3,222.28-849.64

Finding the Fourth Proportional to 2,148.48, 3,222.28 and 849.64

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Solution

The fourth proportional to 2,148.48, 3,222.28 and 849.64 is: 1,274.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.48 : 3,222.28 = 849.64 : x
  2. Step 2: Convert to fraction form
    2,148.48/3,222.28 = 849.64/x
  3. Step 3: Cross multiply
    2,148.48x = 3,222.28 × 849.64
  4. Step 4: Simplify right side
    2,148.48x = 2,737,777.98
  5. Step 5: Solve for x
    x = 2,737,777.98/2,148.48
  6. Step 6: Final answer
    x = 1,274.29

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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.