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Finding the Fourth Proportional to 21,679.20, 32,502.60 and 11,829.60

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Solution

The fourth proportional to 21,679.20, 32,502.60 and 11,829.60 is: 17,735.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,679.20 : 32,502.60 = 11,829.60 : x
  2. Step 2: Convert to fraction form
    21,679.20/32,502.60 = 11,829.60/x
  3. Step 3: Cross multiply
    21,679.20x = 32,502.60 × 11,829.60
  4. Step 4: Simplify right side
    21,679.20x = 384,492,756.96
  5. Step 5: Solve for x
    x = 384,492,756.96/21,679.20
  6. Step 6: Final answer
    x = 17,735.56

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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.