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Finding the Fourth Proportional to 5,411.91, 8,122.12 and 2,779.31

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Solution

The fourth proportional to 5,411.91, 8,122.12 and 2,779.31 is: 4,171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.91 : 8,122.12 = 2,779.31 : x
  2. Step 2: Convert to fraction form
    5,411.91/8,122.12 = 2,779.31/x
  3. Step 3: Cross multiply
    5,411.91x = 8,122.12 × 2,779.31
  4. Step 4: Simplify right side
    5,411.91x = 22,573,834.83
  5. Step 5: Solve for x
    x = 22,573,834.83/5,411.91
  6. Step 6: Final answer
    x = 4,171.14

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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.