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Finding the Fourth Proportional to 8,157.78, 12,236.49 and 2,611.10

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Solution

The fourth proportional to 8,157.78, 12,236.49 and 2,611.10 is: 3,916.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.78 : 12,236.49 = 2,611.10 : x
  2. Step 2: Convert to fraction form
    8,157.78/12,236.49 = 2,611.10/x
  3. Step 3: Cross multiply
    8,157.78x = 12,236.49 × 2,611.10
  4. Step 4: Simplify right side
    8,157.78x = 31,950,729.63
  5. Step 5: Solve for x
    x = 31,950,729.63/8,157.78
  6. Step 6: Final answer
    x = 3,916.60

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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.