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Finding the Fourth Proportional to 20,270.14, 30,410.07 and 6,419.14

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Solution

The fourth proportional to 20,270.14, 30,410.07 and 6,419.14 is: 9,630.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,270.14 : 30,410.07 = 6,419.14 : x
  2. Step 2: Convert to fraction form
    20,270.14/30,410.07 = 6,419.14/x
  3. Step 3: Cross multiply
    20,270.14x = 30,410.07 × 6,419.14
  4. Step 4: Simplify right side
    20,270.14x = 195,206,496.74
  5. Step 5: Solve for x
    x = 195,206,496.74/20,270.14
  6. Step 6: Final answer
    x = 9,630.25

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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.