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Finding the Fourth Proportional to 2,229.69, 3,343.62 and 842.31

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Solution

The fourth proportional to 2,229.69, 3,343.62 and 842.31 is: 1,263.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.69 : 3,343.62 = 842.31 : x
  2. Step 2: Convert to fraction form
    2,229.69/3,343.62 = 842.31/x
  3. Step 3: Cross multiply
    2,229.69x = 3,343.62 × 842.31
  4. Step 4: Simplify right side
    2,229.69x = 2,816,364.56
  5. Step 5: Solve for x
    x = 2,816,364.56/2,229.69
  6. Step 6: Final answer
    x = 1,263.12

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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.