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Finding the Fourth Proportional to 20,084, 30,126.72 and 6,232.64

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Solution

The fourth proportional to 20,084, 30,126.72 and 6,232.64 is: 9,349.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,084 : 30,126.72 = 6,232.64 : x
  2. Step 2: Convert to fraction form
    20,084/30,126.72 = 6,232.64/x
  3. Step 3: Cross multiply
    20,084x = 30,126.72 × 6,232.64
  4. Step 4: Simplify right side
    20,084x = 187,769,000.14
  5. Step 5: Solve for x
    x = 187,769,000.14/20,084
  6. Step 6: Final answer
    x = 9,349.18

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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.