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Finding the Fourth Proportional to 13,982.61, 21,003.08 and 8,150.61

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Solution

The fourth proportional to 13,982.61, 21,003.08 and 8,150.61 is: 12,242.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,982.61 : 21,003.08 = 8,150.61 : x
  2. Step 2: Convert to fraction form
    13,982.61/21,003.08 = 8,150.61/x
  3. Step 3: Cross multiply
    13,982.61x = 21,003.08 × 8,150.61
  4. Step 4: Simplify right side
    13,982.61x = 171,187,873.13
  5. Step 5: Solve for x
    x = 171,187,873.13/13,982.61
  6. Step 6: Final answer
    x = 12,242.91

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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.