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Finding the Fourth Proportional to 11,073.60, 16,561.80 and 8,449.20

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Solution

The fourth proportional to 11,073.60, 16,561.80 and 8,449.20 is: 12,636.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,073.60 : 16,561.80 = 8,449.20 : x
  2. Step 2: Convert to fraction form
    11,073.60/16,561.80 = 8,449.20/x
  3. Step 3: Cross multiply
    11,073.60x = 16,561.80 × 8,449.20
  4. Step 4: Simplify right side
    11,073.60x = 139,933,960.56
  5. Step 5: Solve for x
    x = 139,933,960.56/11,073.60
  6. Step 6: Final answer
    x = 12,636.72

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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.