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Finding the Fourth Proportional to 8,609.37, 11,878.74 and 5,251.97

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Solution

The fourth proportional to 8,609.37, 11,878.74 and 5,251.97 is: 7,246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.37 : 11,878.74 = 5,251.97 : x
  2. Step 2: Convert to fraction form
    8,609.37/11,878.74 = 5,251.97/x
  3. Step 3: Cross multiply
    8,609.37x = 11,878.74 × 5,251.97
  4. Step 4: Simplify right side
    8,609.37x = 62,386,726.72
  5. Step 5: Solve for x
    x = 62,386,726.72/8,609.37
  6. Step 6: Final answer
    x = 7,246.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.