Home / 2,149.34-3,221.78-916.92

Finding the Fourth Proportional to 2,149.34, 3,221.78 and 916.92

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Solution

The fourth proportional to 2,149.34, 3,221.78 and 916.92 is: 1,374.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.34 : 3,221.78 = 916.92 : x
  2. Step 2: Convert to fraction form
    2,149.34/3,221.78 = 916.92/x
  3. Step 3: Cross multiply
    2,149.34x = 3,221.78 × 916.92
  4. Step 4: Simplify right side
    2,149.34x = 2,954,109.93
  5. Step 5: Solve for x
    x = 2,954,109.93/2,149.34
  6. Step 6: Final answer
    x = 1,374.43

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1.5x scale

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.