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Finding the Fourth Proportional to 33,128.80, 49,678.80 and 9,750.40

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Solution

The fourth proportional to 33,128.80, 49,678.80 and 9,750.40 is: 14,621.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,128.80 : 49,678.80 = 9,750.40 : x
  2. Step 2: Convert to fraction form
    33,128.80/49,678.80 = 9,750.40/x
  3. Step 3: Cross multiply
    33,128.80x = 49,678.80 × 9,750.40
  4. Step 4: Simplify right side
    33,128.80x = 484,388,171.52
  5. Step 5: Solve for x
    x = 484,388,171.52/33,128.80
  6. Step 6: Final answer
    x = 14,621.36

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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.