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Finding the Fourth Proportional to 15,265.44, 22,879.68 and 7,865.85

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Solution

The fourth proportional to 15,265.44, 22,879.68 and 7,865.85 is: 11,789.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,265.44 : 22,879.68 = 7,865.85 : x
  2. Step 2: Convert to fraction form
    15,265.44/22,879.68 = 7,865.85/x
  3. Step 3: Cross multiply
    15,265.44x = 22,879.68 × 7,865.85
  4. Step 4: Simplify right side
    15,265.44x = 179,968,130.93
  5. Step 5: Solve for x
    x = 179,968,130.93/15,265.44
  6. Step 6: Final answer
    x = 11,789.25

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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.