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Finding the Fourth Proportional to 30,382.56, 45,573.84 and 8,195.04

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Solution

The fourth proportional to 30,382.56, 45,573.84 and 8,195.04 is: 12,292.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,382.56 : 45,573.84 = 8,195.04 : x
  2. Step 2: Convert to fraction form
    30,382.56/45,573.84 = 8,195.04/x
  3. Step 3: Cross multiply
    30,382.56x = 45,573.84 × 8,195.04
  4. Step 4: Simplify right side
    30,382.56x = 373,479,441.75
  5. Step 5: Solve for x
    x = 373,479,441.75/30,382.56
  6. Step 6: Final answer
    x = 12,292.56

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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.