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Finding the Fourth Proportional to 16,209.60, 24,309.60 and 6,343.20

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Solution

The fourth proportional to 16,209.60, 24,309.60 and 6,343.20 is: 9,512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209.60 : 24,309.60 = 6,343.20 : x
  2. Step 2: Convert to fraction form
    16,209.60/24,309.60 = 6,343.20/x
  3. Step 3: Cross multiply
    16,209.60x = 24,309.60 × 6,343.20
  4. Step 4: Simplify right side
    16,209.60x = 154,200,654.72
  5. Step 5: Solve for x
    x = 154,200,654.72/16,209.60
  6. Step 6: Final answer
    x = 9,512.92

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1.5x scale

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.