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Finding the Fourth Proportional to 18,695.89, 27,978.01 and 11,679.21

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Solution

The fourth proportional to 18,695.89, 27,978.01 and 11,679.21 is: 17,477.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,695.89 : 27,978.01 = 11,679.21 : x
  2. Step 2: Convert to fraction form
    18,695.89/27,978.01 = 11,679.21/x
  3. Step 3: Cross multiply
    18,695.89x = 27,978.01 × 11,679.21
  4. Step 4: Simplify right side
    18,695.89x = 326,761,054.17
  5. Step 5: Solve for x
    x = 326,761,054.17/18,695.89
  6. Step 6: Final answer
    x = 17,477.69

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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.