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Finding the Fourth Proportional to 16,720.60, 25,043.92 and 6,829.90

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Solution

The fourth proportional to 16,720.60, 25,043.92 and 6,829.90 is: 10,229.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,720.60 : 25,043.92 = 6,829.90 : x
  2. Step 2: Convert to fraction form
    16,720.60/25,043.92 = 6,829.90/x
  3. Step 3: Cross multiply
    16,720.60x = 25,043.92 × 6,829.90
  4. Step 4: Simplify right side
    16,720.60x = 171,047,469.21
  5. Step 5: Solve for x
    x = 171,047,469.21/16,720.60
  6. Step 6: Final answer
    x = 10,229.74

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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.