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Finding the Fourth Proportional to 8,016.75, 12,014.63 and 4,311

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Solution

The fourth proportional to 8,016.75, 12,014.63 and 4,311 is: 6,460.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,016.75 : 12,014.63 = 4,311 : x
  2. Step 2: Convert to fraction form
    8,016.75/12,014.63 = 4,311/x
  3. Step 3: Cross multiply
    8,016.75x = 12,014.63 × 4,311
  4. Step 4: Simplify right side
    8,016.75x = 51,795,069.93
  5. Step 5: Solve for x
    x = 51,795,069.93/8,016.75
  6. Step 6: Final answer
    x = 6,460.86

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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.