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Finding the Fourth Proportional to 30,821.72, 46,231.72 and 8,334.57

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Solution

The fourth proportional to 30,821.72, 46,231.72 and 8,334.57 is: 12,501.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,821.72 : 46,231.72 = 8,334.57 : x
  2. Step 2: Convert to fraction form
    30,821.72/46,231.72 = 8,334.57/x
  3. Step 3: Cross multiply
    30,821.72x = 46,231.72 × 8,334.57
  4. Step 4: Simplify right side
    30,821.72x = 385,321,399.04
  5. Step 5: Solve for x
    x = 385,321,399.04/30,821.72
  6. Step 6: Final answer
    x = 12,501.62

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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.