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Finding the Fourth Proportional to 30,049.68, 45,077.09 and 7,863.04

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Solution

The fourth proportional to 30,049.68, 45,077.09 and 7,863.04 is: 11,795.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,049.68 : 45,077.09 = 7,863.04 : x
  2. Step 2: Convert to fraction form
    30,049.68/45,077.09 = 7,863.04/x
  3. Step 3: Cross multiply
    30,049.68x = 45,077.09 × 7,863.04
  4. Step 4: Simplify right side
    30,049.68x = 354,442,951.92
  5. Step 5: Solve for x
    x = 354,442,951.92/30,049.68
  6. Step 6: Final answer
    x = 11,795.23

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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.