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Finding the Fourth Proportional to 2,229.74, 3,342.30 and 842.10

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Solution

The fourth proportional to 2,229.74, 3,342.30 and 842.10 is: 1,262.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.74 : 3,342.30 = 842.10 : x
  2. Step 2: Convert to fraction form
    2,229.74/3,342.30 = 842.10/x
  3. Step 3: Cross multiply
    2,229.74x = 3,342.30 × 842.10
  4. Step 4: Simplify right side
    2,229.74x = 2,814,550.83
  5. Step 5: Solve for x
    x = 2,814,550.83/2,229.74
  6. Step 6: Final answer
    x = 1,262.28

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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.