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Finding the Fourth Proportional to 20,354, 30,535.38 and 6,313.74

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Solution

The fourth proportional to 20,354, 30,535.38 and 6,313.74 is: 9,471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,354 : 30,535.38 = 6,313.74 : x
  2. Step 2: Convert to fraction form
    20,354/30,535.38 = 6,313.74/x
  3. Step 3: Cross multiply
    20,354x = 30,535.38 × 6,313.74
  4. Step 4: Simplify right side
    20,354x = 192,792,450.12
  5. Step 5: Solve for x
    x = 192,792,450.12/20,354
  6. Step 6: Final answer
    x = 9,471.97

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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.