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Finding the Fourth Proportional to 15,765.24, 23,662.44 and 7,979.52

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Solution

The fourth proportional to 15,765.24, 23,662.44 and 7,979.52 is: 11,976.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765.24 : 23,662.44 = 7,979.52 : x
  2. Step 2: Convert to fraction form
    15,765.24/23,662.44 = 7,979.52/x
  3. Step 3: Cross multiply
    15,765.24x = 23,662.44 × 7,979.52
  4. Step 4: Simplify right side
    15,765.24x = 188,814,913.23
  5. Step 5: Solve for x
    x = 188,814,913.23/15,765.24
  6. Step 6: Final answer
    x = 11,976.66

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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.