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Finding the Fourth Proportional to 20,164.74, 30,242.24 and 6,313.74

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Solution

The fourth proportional to 20,164.74, 30,242.24 and 6,313.74 is: 9,469.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.74 : 30,242.24 = 6,313.74 : x
  2. Step 2: Convert to fraction form
    20,164.74/30,242.24 = 6,313.74/x
  3. Step 3: Cross multiply
    20,164.74x = 30,242.24 × 6,313.74
  4. Step 4: Simplify right side
    20,164.74x = 190,941,640.38
  5. Step 5: Solve for x
    x = 190,941,640.38/20,164.74
  6. Step 6: Final answer
    x = 9,469.09

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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.