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Finding the Fourth Proportional to 11,793.12, 16,259.76 and 9,919.20

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Solution

The fourth proportional to 11,793.12, 16,259.76 and 9,919.20 is: 13,676.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.12 : 16,259.76 = 9,919.20 : x
  2. Step 2: Convert to fraction form
    11,793.12/16,259.76 = 9,919.20/x
  3. Step 3: Cross multiply
    11,793.12x = 16,259.76 × 9,919.20
  4. Step 4: Simplify right side
    11,793.12x = 161,283,811.39
  5. Step 5: Solve for x
    x = 161,283,811.39/11,793.12
  6. Step 6: Final answer
    x = 13,676.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.