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Finding the Fourth Proportional to 5,672.64, 8,511.60 and 2,208.96

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Solution

The fourth proportional to 5,672.64, 8,511.60 and 2,208.96 is: 3,314.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.64 : 8,511.60 = 2,208.96 : x
  2. Step 2: Convert to fraction form
    5,672.64/8,511.60 = 2,208.96/x
  3. Step 3: Cross multiply
    5,672.64x = 8,511.60 × 2,208.96
  4. Step 4: Simplify right side
    5,672.64x = 18,801,783.94
  5. Step 5: Solve for x
    x = 18,801,783.94/5,672.64
  6. Step 6: Final answer
    x = 3,314.47

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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.