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Finding the Fourth Proportional to 33,106.80, 49,645.80 and 9,728.40

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Solution

The fourth proportional to 33,106.80, 49,645.80 and 9,728.40 is: 14,588.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,106.80 : 49,645.80 = 9,728.40 : x
  2. Step 2: Convert to fraction form
    33,106.80/49,645.80 = 9,728.40/x
  3. Step 3: Cross multiply
    33,106.80x = 49,645.80 × 9,728.40
  4. Step 4: Simplify right side
    33,106.80x = 482,974,200.72
  5. Step 5: Solve for x
    x = 482,974,200.72/33,106.80
  6. Step 6: Final answer
    x = 14,588.37

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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.