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Finding the Fourth Proportional to 22,648.75, 33,979.15 and 7,857.65

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Solution

The fourth proportional to 22,648.75, 33,979.15 and 7,857.65 is: 11,788.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,648.75 : 33,979.15 = 7,857.65 : x
  2. Step 2: Convert to fraction form
    22,648.75/33,979.15 = 7,857.65/x
  3. Step 3: Cross multiply
    22,648.75x = 33,979.15 × 7,857.65
  4. Step 4: Simplify right side
    22,648.75x = 266,996,268.00
  5. Step 5: Solve for x
    x = 266,996,268.00/22,648.75
  6. Step 6: Final answer
    x = 11,788.57

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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.