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Finding the Fourth Proportional to 2,242.90, 3,363.94 and 994.06

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Solution

The fourth proportional to 2,242.90, 3,363.94 and 994.06 is: 1,490.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.90 : 3,363.94 = 994.06 : x
  2. Step 2: Convert to fraction form
    2,242.90/3,363.94 = 994.06/x
  3. Step 3: Cross multiply
    2,242.90x = 3,363.94 × 994.06
  4. Step 4: Simplify right side
    2,242.90x = 3,343,958.20
  5. Step 5: Solve for x
    x = 3,343,958.20/2,242.90
  6. Step 6: Final answer
    x = 1,490.91

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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.