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Finding the Fourth Proportional to 3,954.49, 5,451.74 and 3,160.49

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Solution

The fourth proportional to 3,954.49, 5,451.74 and 3,160.49 is: 4,357.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.49 : 5,451.74 = 3,160.49 : x
  2. Step 2: Convert to fraction form
    3,954.49/5,451.74 = 3,160.49/x
  3. Step 3: Cross multiply
    3,954.49x = 5,451.74 × 3,160.49
  4. Step 4: Simplify right side
    3,954.49x = 17,230,138.54
  5. Step 5: Solve for x
    x = 17,230,138.54/3,954.49
  6. Step 6: Final answer
    x = 4,357.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.