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Finding the Fourth Proportional to 20,512.64, 30,747.09 and 14,651.48

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Solution

The fourth proportional to 20,512.64, 30,747.09 and 14,651.48 is: 21,961.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.64 : 30,747.09 = 14,651.48 : x
  2. Step 2: Convert to fraction form
    20,512.64/30,747.09 = 14,651.48/x
  3. Step 3: Cross multiply
    20,512.64x = 30,747.09 × 14,651.48
  4. Step 4: Simplify right side
    20,512.64x = 450,490,506.00
  5. Step 5: Solve for x
    x = 450,490,506.00/20,512.64
  6. Step 6: Final answer
    x = 21,961.60

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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.