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Finding the Fourth Proportional to 11,955.96, 16,499.12 and 6,650.90

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Solution

The fourth proportional to 11,955.96, 16,499.12 and 6,650.90 is: 9,178.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,955.96 : 16,499.12 = 6,650.90 : x
  2. Step 2: Convert to fraction form
    11,955.96/16,499.12 = 6,650.90/x
  3. Step 3: Cross multiply
    11,955.96x = 16,499.12 × 6,650.90
  4. Step 4: Simplify right side
    11,955.96x = 109,733,997.21
  5. Step 5: Solve for x
    x = 109,733,997.21/11,955.96
  6. Step 6: Final answer
    x = 9,178.18

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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.