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Finding the Fourth Proportional to 2,242, 3,094.72 and 1,414

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Solution

The fourth proportional to 2,242, 3,094.72 and 1,414 is: 1,951.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242 : 3,094.72 = 1,414 : x
  2. Step 2: Convert to fraction form
    2,242/3,094.72 = 1,414/x
  3. Step 3: Cross multiply
    2,242x = 3,094.72 × 1,414
  4. Step 4: Simplify right side
    2,242x = 4,375,934.08
  5. Step 5: Solve for x
    x = 4,375,934.08/2,242
  6. Step 6: Final answer
    x = 1,951.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.