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Finding the Fourth Proportional to 8,600, 11,867.92 and 4,874

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Solution

The fourth proportional to 8,600, 11,867.92 and 4,874 is: 6,726.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,600 : 11,867.92 = 4,874 : x
  2. Step 2: Convert to fraction form
    8,600/11,867.92 = 4,874/x
  3. Step 3: Cross multiply
    8,600x = 11,867.92 × 4,874
  4. Step 4: Simplify right side
    8,600x = 57,844,242.08
  5. Step 5: Solve for x
    x = 57,844,242.08/8,600
  6. Step 6: Final answer
    x = 6,726.07

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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.