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Finding the Fourth Proportional to 30,234.43, 45,351.73 and 9,174.64

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Solution

The fourth proportional to 30,234.43, 45,351.73 and 9,174.64 is: 13,761.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,234.43 : 45,351.73 = 9,174.64 : x
  2. Step 2: Convert to fraction form
    30,234.43/45,351.73 = 9,174.64/x
  3. Step 3: Cross multiply
    30,234.43x = 45,351.73 × 9,174.64
  4. Step 4: Simplify right side
    30,234.43x = 416,085,546.43
  5. Step 5: Solve for x
    x = 416,085,546.43/30,234.43
  6. Step 6: Final answer
    x = 13,761.98

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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.