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Finding the Fourth Proportional to 3,342, 5,009.38 and 1,780.44

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Solution

The fourth proportional to 3,342, 5,009.38 and 1,780.44 is: 2,668.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342 : 5,009.38 = 1,780.44 : x
  2. Step 2: Convert to fraction form
    3,342/5,009.38 = 1,780.44/x
  3. Step 3: Cross multiply
    3,342x = 5,009.38 × 1,780.44
  4. Step 4: Simplify right side
    3,342x = 8,918,900.53
  5. Step 5: Solve for x
    x = 8,918,900.53/3,342
  6. Step 6: Final answer
    x = 2,668.73

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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.