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Finding the Fourth Proportional to 8,540.54, 12,816.51 and 2,993.88

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Solution

The fourth proportional to 8,540.54, 12,816.51 and 2,993.88 is: 4,492.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.54 : 12,816.51 = 2,993.88 : x
  2. Step 2: Convert to fraction form
    8,540.54/12,816.51 = 2,993.88/x
  3. Step 3: Cross multiply
    8,540.54x = 12,816.51 × 2,993.88
  4. Step 4: Simplify right side
    8,540.54x = 38,371,092.96
  5. Step 5: Solve for x
    x = 38,371,092.96/8,540.54
  6. Step 6: Final answer
    x = 4,492.82

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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.