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Finding the Fourth Proportional to 2,779.96, 3,836.31 and 1,520.99

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Solution

The fourth proportional to 2,779.96, 3,836.31 and 1,520.99 is: 2,098.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.96 : 3,836.31 = 1,520.99 : x
  2. Step 2: Convert to fraction form
    2,779.96/3,836.31 = 1,520.99/x
  3. Step 3: Cross multiply
    2,779.96x = 3,836.31 × 1,520.99
  4. Step 4: Simplify right side
    2,779.96x = 5,834,989.15
  5. Step 5: Solve for x
    x = 5,834,989.15/2,779.96
  6. Step 6: Final answer
    x = 2,098.95

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Why These Related Problems?

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