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Finding the Fourth Proportional to 2,557.28, 3,834.20 and 890.97

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Solution

The fourth proportional to 2,557.28, 3,834.20 and 890.97 is: 1,335.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.28 : 3,834.20 = 890.97 : x
  2. Step 2: Convert to fraction form
    2,557.28/3,834.20 = 890.97/x
  3. Step 3: Cross multiply
    2,557.28x = 3,834.20 × 890.97
  4. Step 4: Simplify right side
    2,557.28x = 3,416,152.72
  5. Step 5: Solve for x
    x = 3,416,152.72/2,557.28
  6. Step 6: Final answer
    x = 1,335.86

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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.