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Finding the Fourth Proportional to 21,661.21, 32,485.20 and 9,181

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Solution

The fourth proportional to 21,661.21, 32,485.20 and 9,181 is: 13,768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,661.21 : 32,485.20 = 9,181 : x
  2. Step 2: Convert to fraction form
    21,661.21/32,485.20 = 9,181/x
  3. Step 3: Cross multiply
    21,661.21x = 32,485.20 × 9,181
  4. Step 4: Simplify right side
    21,661.21x = 298,246,621.20
  5. Step 5: Solve for x
    x = 298,246,621.20/21,661.21
  6. Step 6: Final answer
    x = 13,768.70

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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.