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Finding the Fourth Proportional to 6,843.66, 10,247.98 and 5,459

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Solution

The fourth proportional to 6,843.66, 10,247.98 and 5,459 is: 8,174.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.66 : 10,247.98 = 5,459 : x
  2. Step 2: Convert to fraction form
    6,843.66/10,247.98 = 5,459/x
  3. Step 3: Cross multiply
    6,843.66x = 10,247.98 × 5,459
  4. Step 4: Simplify right side
    6,843.66x = 55,943,722.82
  5. Step 5: Solve for x
    x = 55,943,722.82/6,843.66
  6. Step 6: Final answer
    x = 8,174.53

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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.