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Finding the Fourth Proportional to 6,951, 10,426.50 and 2,847

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Solution

The fourth proportional to 6,951, 10,426.50 and 2,847 is: 4,270.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951 : 10,426.50 = 2,847 : x
  2. Step 2: Convert to fraction form
    6,951/10,426.50 = 2,847/x
  3. Step 3: Cross multiply
    6,951x = 10,426.50 × 2,847
  4. Step 4: Simplify right side
    6,951x = 29,684,245.50
  5. Step 5: Solve for x
    x = 29,684,245.50/6,951
  6. Step 6: Final answer
    x = 4,270.50

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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.