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Finding the Fourth Proportional to 6,812, 10,218.64 and 2,652.32

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Solution

The fourth proportional to 6,812, 10,218.64 and 2,652.32 is: 3,978.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812 : 10,218.64 = 2,652.32 : x
  2. Step 2: Convert to fraction form
    6,812/10,218.64 = 2,652.32/x
  3. Step 3: Cross multiply
    6,812x = 10,218.64 × 2,652.32
  4. Step 4: Simplify right side
    6,812x = 27,103,103.24
  5. Step 5: Solve for x
    x = 27,103,103.24/6,812
  6. Step 6: Final answer
    x = 3,978.73

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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.