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Finding the Fourth Proportional to 11,308.95, 16,949.48 and 8,199.63

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Solution

The fourth proportional to 11,308.95, 16,949.48 and 8,199.63 is: 12,289.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,308.95 : 16,949.48 = 8,199.63 : x
  2. Step 2: Convert to fraction form
    11,308.95/16,949.48 = 8,199.63/x
  3. Step 3: Cross multiply
    11,308.95x = 16,949.48 × 8,199.63
  4. Step 4: Simplify right side
    11,308.95x = 138,979,423.69
  5. Step 5: Solve for x
    x = 138,979,423.69/11,308.95
  6. Step 6: Final answer
    x = 12,289.33

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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.