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Finding the Fourth Proportional to 13,129.52, 19,648.05 and 8,201.48

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Solution

The fourth proportional to 13,129.52, 19,648.05 and 8,201.48 is: 12,273.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.52 : 19,648.05 = 8,201.48 : x
  2. Step 2: Convert to fraction form
    13,129.52/19,648.05 = 8,201.48/x
  3. Step 3: Cross multiply
    13,129.52x = 19,648.05 × 8,201.48
  4. Step 4: Simplify right side
    13,129.52x = 161,143,089.11
  5. Step 5: Solve for x
    x = 161,143,089.11/13,129.52
  6. Step 6: Final answer
    x = 12,273.34

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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.