Home / 2,111.70-3,166.78-724.66

Finding the Fourth Proportional to 2,111.70, 3,166.78 and 724.66

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Solution

The fourth proportional to 2,111.70, 3,166.78 and 724.66 is: 1,086.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.70 : 3,166.78 = 724.66 : x
  2. Step 2: Convert to fraction form
    2,111.70/3,166.78 = 724.66/x
  3. Step 3: Cross multiply
    2,111.70x = 3,166.78 × 724.66
  4. Step 4: Simplify right side
    2,111.70x = 2,294,838.79
  5. Step 5: Solve for x
    x = 2,294,838.79/2,111.70
  6. Step 6: Final answer
    x = 1,086.73

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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.