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Finding the Fourth Proportional to 33,428, 50,135.92 and 12,364.76

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Solution

The fourth proportional to 33,428, 50,135.92 and 12,364.76 is: 18,544.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,428 : 50,135.92 = 12,364.76 : x
  2. Step 2: Convert to fraction form
    33,428/50,135.92 = 12,364.76/x
  3. Step 3: Cross multiply
    33,428x = 50,135.92 × 12,364.76
  4. Step 4: Simplify right side
    33,428x = 619,918,618.18
  5. Step 5: Solve for x
    x = 619,918,618.18/33,428
  6. Step 6: Final answer
    x = 18,544.89

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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.