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Finding the Fourth Proportional to 18,403.29, 27,609 and 6,716.46

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Solution

The fourth proportional to 18,403.29, 27,609 and 6,716.46 is: 10,076.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,403.29 : 27,609 = 6,716.46 : x
  2. Step 2: Convert to fraction form
    18,403.29/27,609 = 6,716.46/x
  3. Step 3: Cross multiply
    18,403.29x = 27,609 × 6,716.46
  4. Step 4: Simplify right side
    18,403.29x = 185,434,744.14
  5. Step 5: Solve for x
    x = 185,434,744.14/18,403.29
  6. Step 6: Final answer
    x = 10,076.17

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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.