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Finding the Fourth Proportional to 18,487.61, 27,742.40 and 6,809.03

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Solution

The fourth proportional to 18,487.61, 27,742.40 and 6,809.03 is: 10,217.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,487.61 : 27,742.40 = 6,809.03 : x
  2. Step 2: Convert to fraction form
    18,487.61/27,742.40 = 6,809.03/x
  3. Step 3: Cross multiply
    18,487.61x = 27,742.40 × 6,809.03
  4. Step 4: Simplify right side
    18,487.61x = 188,898,833.87
  5. Step 5: Solve for x
    x = 188,898,833.87/18,487.61
  6. Step 6: Final answer
    x = 10,217.59

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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.