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Finding the Fourth Proportional to 18,657.69, 27,982.49 and 5,507.07

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Solution

The fourth proportional to 18,657.69, 27,982.49 and 5,507.07 is: 8,259.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,657.69 : 27,982.49 = 5,507.07 : x
  2. Step 2: Convert to fraction form
    18,657.69/27,982.49 = 5,507.07/x
  3. Step 3: Cross multiply
    18,657.69x = 27,982.49 × 5,507.07
  4. Step 4: Simplify right side
    18,657.69x = 154,101,503.67
  5. Step 5: Solve for x
    x = 154,101,503.67/18,657.69
  6. Step 6: Final answer
    x = 8,259.41

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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.