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Finding the Fourth Proportional to 8,540.96, 12,813.96 and 2,537.20

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Solution

The fourth proportional to 8,540.96, 12,813.96 and 2,537.20 is: 3,806.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.96 : 12,813.96 = 2,537.20 : x
  2. Step 2: Convert to fraction form
    8,540.96/12,813.96 = 2,537.20/x
  3. Step 3: Cross multiply
    8,540.96x = 12,813.96 × 2,537.20
  4. Step 4: Simplify right side
    8,540.96x = 32,511,579.31
  5. Step 5: Solve for x
    x = 32,511,579.31/8,540.96
  6. Step 6: Final answer
    x = 3,806.55

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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.