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Finding the Fourth Proportional to 3,402.78, 5,109.03 and 3,344.46

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Solution

The fourth proportional to 3,402.78, 5,109.03 and 3,344.46 is: 5,021.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.78 : 5,109.03 = 3,344.46 : x
  2. Step 2: Convert to fraction form
    3,402.78/5,109.03 = 3,344.46/x
  3. Step 3: Cross multiply
    3,402.78x = 5,109.03 × 3,344.46
  4. Step 4: Simplify right side
    3,402.78x = 17,086,946.47
  5. Step 5: Solve for x
    x = 17,086,946.47/3,402.78
  6. Step 6: Final answer
    x = 5,021.47

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1.5x scale

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.