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Finding the Fourth Proportional to 2,144.34, 3,214.13 and 912.78

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Solution

The fourth proportional to 2,144.34, 3,214.13 and 912.78 is: 1,368.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.34 : 3,214.13 = 912.78 : x
  2. Step 2: Convert to fraction form
    2,144.34/3,214.13 = 912.78/x
  3. Step 3: Cross multiply
    2,144.34x = 3,214.13 × 912.78
  4. Step 4: Simplify right side
    2,144.34x = 2,933,789.02
  5. Step 5: Solve for x
    x = 2,933,789.02/2,144.34
  6. Step 6: Final answer
    x = 1,368.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.