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Finding the Fourth Proportional to 2,227.66, 3,341.49 and 840.22

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Solution

The fourth proportional to 2,227.66, 3,341.49 and 840.22 is: 1,260.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.66 : 3,341.49 = 840.22 : x
  2. Step 2: Convert to fraction form
    2,227.66/3,341.49 = 840.22/x
  3. Step 3: Cross multiply
    2,227.66x = 3,341.49 × 840.22
  4. Step 4: Simplify right side
    2,227.66x = 2,807,586.73
  5. Step 5: Solve for x
    x = 2,807,586.73/2,227.66
  6. Step 6: Final answer
    x = 1,260.33

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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.