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Finding the Fourth Proportional to 18,014, 26,997.08 and 9,578.72

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Solution

The fourth proportional to 18,014, 26,997.08 and 9,578.72 is: 14,355.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,014 : 26,997.08 = 9,578.72 : x
  2. Step 2: Convert to fraction form
    18,014/26,997.08 = 9,578.72/x
  3. Step 3: Cross multiply
    18,014x = 26,997.08 × 9,578.72
  4. Step 4: Simplify right side
    18,014x = 258,597,470.14
  5. Step 5: Solve for x
    x = 258,597,470.14/18,014
  6. Step 6: Final answer
    x = 14,355.36

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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.