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Finding the Fourth Proportional to 20,614.16, 30,911.52 and 7,961.96

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Solution

The fourth proportional to 20,614.16, 30,911.52 and 7,961.96 is: 11,939.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,614.16 : 30,911.52 = 7,961.96 : x
  2. Step 2: Convert to fraction form
    20,614.16/30,911.52 = 7,961.96/x
  3. Step 3: Cross multiply
    20,614.16x = 30,911.52 × 7,961.96
  4. Step 4: Simplify right side
    20,614.16x = 246,116,285.78
  5. Step 5: Solve for x
    x = 246,116,285.78/20,614.16
  6. Step 6: Final answer
    x = 11,939.19

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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.