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Finding the Fourth Proportional to 8,617.56, 12,927.78 and 3,074.10

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Solution

The fourth proportional to 8,617.56, 12,927.78 and 3,074.10 is: 4,611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,617.56 : 12,927.78 = 3,074.10 : x
  2. Step 2: Convert to fraction form
    8,617.56/12,927.78 = 3,074.10/x
  3. Step 3: Cross multiply
    8,617.56x = 12,927.78 × 3,074.10
  4. Step 4: Simplify right side
    8,617.56x = 39,741,288.50
  5. Step 5: Solve for x
    x = 39,741,288.50/8,617.56
  6. Step 6: Final answer
    x = 4,611.66

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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.