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Finding the Fourth Proportional to 11,906.52, 17,859.78 and 4,985.88

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Solution

The fourth proportional to 11,906.52, 17,859.78 and 4,985.88 is: 7,478.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.52 : 17,859.78 = 4,985.88 : x
  2. Step 2: Convert to fraction form
    11,906.52/17,859.78 = 4,985.88/x
  3. Step 3: Cross multiply
    11,906.52x = 17,859.78 × 4,985.88
  4. Step 4: Simplify right side
    11,906.52x = 89,046,719.91
  5. Step 5: Solve for x
    x = 89,046,719.91/11,906.52
  6. Step 6: Final answer
    x = 7,478.82

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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.