Home / 2,148.10-3,221.61-849.58

Finding the Fourth Proportional to 2,148.10, 3,221.61 and 849.58

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Solution

The fourth proportional to 2,148.10, 3,221.61 and 849.58 is: 1,274.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.10 : 3,221.61 = 849.58 : x
  2. Step 2: Convert to fraction form
    2,148.10/3,221.61 = 849.58/x
  3. Step 3: Cross multiply
    2,148.10x = 3,221.61 × 849.58
  4. Step 4: Simplify right side
    2,148.10x = 2,737,015.42
  5. Step 5: Solve for x
    x = 2,737,015.42/2,148.10
  6. Step 6: Final answer
    x = 1,274.16

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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.