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Finding the Fourth Proportional to 5,877.86, 8,815.83 and 2,179.22

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Solution

The fourth proportional to 5,877.86, 8,815.83 and 2,179.22 is: 3,268.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.86 : 8,815.83 = 2,179.22 : x
  2. Step 2: Convert to fraction form
    5,877.86/8,815.83 = 2,179.22/x
  3. Step 3: Cross multiply
    5,877.86x = 8,815.83 × 2,179.22
  4. Step 4: Simplify right side
    5,877.86x = 19,211,633.05
  5. Step 5: Solve for x
    x = 19,211,633.05/5,877.86
  6. Step 6: Final answer
    x = 3,268.47

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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.