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Finding the Fourth Proportional to 2,981.22, 4,473.89 and 1,226.34

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Solution

The fourth proportional to 2,981.22, 4,473.89 and 1,226.34 is: 1,840.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.22 : 4,473.89 = 1,226.34 : x
  2. Step 2: Convert to fraction form
    2,981.22/4,473.89 = 1,226.34/x
  3. Step 3: Cross multiply
    2,981.22x = 4,473.89 × 1,226.34
  4. Step 4: Simplify right side
    2,981.22x = 5,486,504.13
  5. Step 5: Solve for x
    x = 5,486,504.13/2,981.22
  6. Step 6: Final answer
    x = 1,840.36

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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.