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Finding the Fourth Proportional to 18,468.24, 27,706 and 6,781.56

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Solution

The fourth proportional to 18,468.24, 27,706 and 6,781.56 is: 10,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,468.24 : 27,706 = 6,781.56 : x
  2. Step 2: Convert to fraction form
    18,468.24/27,706 = 6,781.56/x
  3. Step 3: Cross multiply
    18,468.24x = 27,706 × 6,781.56
  4. Step 4: Simplify right side
    18,468.24x = 187,889,901.36
  5. Step 5: Solve for x
    x = 187,889,901.36/18,468.24
  6. Step 6: Final answer
    x = 10,173.68

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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.