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Finding the Fourth Proportional to 18,509.82, 27,762 and 6,820.32

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Solution

The fourth proportional to 18,509.82, 27,762 and 6,820.32 is: 10,229.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,509.82 : 27,762 = 6,820.32 : x
  2. Step 2: Convert to fraction form
    18,509.82/27,762 = 6,820.32/x
  3. Step 3: Cross multiply
    18,509.82x = 27,762 × 6,820.32
  4. Step 4: Simplify right side
    18,509.82x = 189,345,723.84
  5. Step 5: Solve for x
    x = 189,345,723.84/18,509.82
  6. Step 6: Final answer
    x = 10,229.47

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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.