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Finding the Fourth Proportional to 20,267.25, 30,401.01 and 6,416.25

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Solution

The fourth proportional to 20,267.25, 30,401.01 and 6,416.25 is: 9,624.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,267.25 : 30,401.01 = 6,416.25 : x
  2. Step 2: Convert to fraction form
    20,267.25/30,401.01 = 6,416.25/x
  3. Step 3: Cross multiply
    20,267.25x = 30,401.01 × 6,416.25
  4. Step 4: Simplify right side
    20,267.25x = 195,060,480.41
  5. Step 5: Solve for x
    x = 195,060,480.41/20,267.25
  6. Step 6: Final answer
    x = 9,624.42

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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.