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Finding the Fourth Proportional to 14,481.78, 19,985.66 and 8,108.01

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Solution

The fourth proportional to 14,481.78, 19,985.66 and 8,108.01 is: 11,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,481.78 : 19,985.66 = 8,108.01 : x
  2. Step 2: Convert to fraction form
    14,481.78/19,985.66 = 8,108.01/x
  3. Step 3: Cross multiply
    14,481.78x = 19,985.66 × 8,108.01
  4. Step 4: Simplify right side
    14,481.78x = 162,043,890.60
  5. Step 5: Solve for x
    x = 162,043,890.60/14,481.78
  6. Step 6: Final answer
    x = 11,189.50

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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.