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Finding the Fourth Proportional to 33,428, 50,165.04 and 11,540

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Solution

The fourth proportional to 33,428, 50,165.04 and 11,540 is: 17,317.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,428 : 50,165.04 = 11,540 : x
  2. Step 2: Convert to fraction form
    33,428/50,165.04 = 11,540/x
  3. Step 3: Cross multiply
    33,428x = 50,165.04 × 11,540
  4. Step 4: Simplify right side
    33,428x = 578,904,561.60
  5. Step 5: Solve for x
    x = 578,904,561.60/33,428
  6. Step 6: Final answer
    x = 17,317.95

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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.