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Finding the Fourth Proportional to 33,438, 50,145.39 and 9,739.11

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Solution

The fourth proportional to 33,438, 50,145.39 and 9,739.11 is: 14,605.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,438 : 50,145.39 = 9,739.11 : x
  2. Step 2: Convert to fraction form
    33,438/50,145.39 = 9,739.11/x
  3. Step 3: Cross multiply
    33,438x = 50,145.39 × 9,739.11
  4. Step 4: Simplify right side
    33,438x = 488,371,469.20
  5. Step 5: Solve for x
    x = 488,371,469.20/33,438
  6. Step 6: Final answer
    x = 14,605.28

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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.