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Finding the Fourth Proportional to 30,631.91, 45,940.84 and 8,447.22

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Solution

The fourth proportional to 30,631.91, 45,940.84 and 8,447.22 is: 12,668.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,631.91 : 45,940.84 = 8,447.22 : x
  2. Step 2: Convert to fraction form
    30,631.91/45,940.84 = 8,447.22/x
  3. Step 3: Cross multiply
    30,631.91x = 45,940.84 × 8,447.22
  4. Step 4: Simplify right side
    30,631.91x = 388,072,361.35
  5. Step 5: Solve for x
    x = 388,072,361.35/30,631.91
  6. Step 6: Final answer
    x = 12,668.89

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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.