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Finding the Fourth Proportional to 18,546.60, 27,820.05 and 6,859.65

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Solution

The fourth proportional to 18,546.60, 27,820.05 and 6,859.65 is: 10,289.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,546.60 : 27,820.05 = 6,859.65 : x
  2. Step 2: Convert to fraction form
    18,546.60/27,820.05 = 6,859.65/x
  3. Step 3: Cross multiply
    18,546.60x = 27,820.05 × 6,859.65
  4. Step 4: Simplify right side
    18,546.60x = 190,835,805.98
  5. Step 5: Solve for x
    x = 190,835,805.98/18,546.60
  6. Step 6: Final answer
    x = 10,289.53

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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.