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Finding the Fourth Proportional to 12,661.92, 18,987.38 and 4,865.25

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Solution

The fourth proportional to 12,661.92, 18,987.38 and 4,865.25 is: 7,295.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.92 : 18,987.38 = 4,865.25 : x
  2. Step 2: Convert to fraction form
    12,661.92/18,987.38 = 4,865.25/x
  3. Step 3: Cross multiply
    12,661.92x = 18,987.38 × 4,865.25
  4. Step 4: Simplify right side
    12,661.92x = 92,378,326.22
  5. Step 5: Solve for x
    x = 92,378,326.22/12,661.92
  6. Step 6: Final answer
    x = 7,295.76

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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.