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Finding the Fourth Proportional to 3,434.43, 5,151.62 and 969.23

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Solution

The fourth proportional to 3,434.43, 5,151.62 and 969.23 is: 1,453.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.43 : 5,151.62 = 969.23 : x
  2. Step 2: Convert to fraction form
    3,434.43/5,151.62 = 969.23/x
  3. Step 3: Cross multiply
    3,434.43x = 5,151.62 × 969.23
  4. Step 4: Simplify right side
    3,434.43x = 4,993,127.41
  5. Step 5: Solve for x
    x = 4,993,127.41/3,434.43
  6. Step 6: Final answer
    x = 1,453.85

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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.