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Finding the Fourth Proportional to 14,878.22, 20,531.78 and 8,163.90

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Solution

The fourth proportional to 14,878.22, 20,531.78 and 8,163.90 is: 11,266.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,878.22 : 20,531.78 = 8,163.90 : x
  2. Step 2: Convert to fraction form
    14,878.22/20,531.78 = 8,163.90/x
  3. Step 3: Cross multiply
    14,878.22x = 20,531.78 × 8,163.90
  4. Step 4: Simplify right side
    14,878.22x = 167,619,398.74
  5. Step 5: Solve for x
    x = 167,619,398.74/14,878.22
  6. Step 6: Final answer
    x = 11,266.09

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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.