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Finding the Fourth Proportional to 2,555.14, 3,833.22 and 911.92

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Solution

The fourth proportional to 2,555.14, 3,833.22 and 911.92 is: 1,368.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.14 : 3,833.22 = 911.92 : x
  2. Step 2: Convert to fraction form
    2,555.14/3,833.22 = 911.92/x
  3. Step 3: Cross multiply
    2,555.14x = 3,833.22 × 911.92
  4. Step 4: Simplify right side
    2,555.14x = 3,495,589.98
  5. Step 5: Solve for x
    x = 3,495,589.98/2,555.14
  6. Step 6: Final answer
    x = 1,368.06

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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.