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Finding the Fourth Proportional to 11,921.50, 16,452.03 and 6,616.81

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Solution

The fourth proportional to 11,921.50, 16,452.03 and 6,616.81 is: 9,131.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,921.50 : 16,452.03 = 6,616.81 : x
  2. Step 2: Convert to fraction form
    11,921.50/16,452.03 = 6,616.81/x
  3. Step 3: Cross multiply
    11,921.50x = 16,452.03 × 6,616.81
  4. Step 4: Simplify right side
    11,921.50x = 108,859,956.62
  5. Step 5: Solve for x
    x = 108,859,956.62/11,921.50
  6. Step 6: Final answer
    x = 9,131.40

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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.