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Finding the Fourth Proportional to 10,921.42, 16,414.94 and 9,609.22

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Solution

The fourth proportional to 10,921.42, 16,414.94 and 9,609.22 is: 14,442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,921.42 : 16,414.94 = 9,609.22 : x
  2. Step 2: Convert to fraction form
    10,921.42/16,414.94 = 9,609.22/x
  3. Step 3: Cross multiply
    10,921.42x = 16,414.94 × 9,609.22
  4. Step 4: Simplify right side
    10,921.42x = 157,734,769.75
  5. Step 5: Solve for x
    x = 157,734,769.75/10,921.42
  6. Step 6: Final answer
    x = 14,442.70

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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.