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Finding the Fourth Proportional to 5,687.96, 8,531.64 and 2,179.64

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Solution

The fourth proportional to 5,687.96, 8,531.64 and 2,179.64 is: 3,269.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.96 : 8,531.64 = 2,179.64 : x
  2. Step 2: Convert to fraction form
    5,687.96/8,531.64 = 2,179.64/x
  3. Step 3: Cross multiply
    5,687.96x = 8,531.64 × 2,179.64
  4. Step 4: Simplify right side
    5,687.96x = 18,595,925.14
  5. Step 5: Solve for x
    x = 18,595,925.14/5,687.96
  6. Step 6: Final answer
    x = 3,269.35

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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.