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Finding the Fourth Proportional to 30,047.59, 45,067.94 and 7,863.11

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Solution

The fourth proportional to 30,047.59, 45,067.94 and 7,863.11 is: 11,793.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,047.59 : 45,067.94 = 7,863.11 : x
  2. Step 2: Convert to fraction form
    30,047.59/45,067.94 = 7,863.11/x
  3. Step 3: Cross multiply
    30,047.59x = 45,067.94 × 7,863.11
  4. Step 4: Simplify right side
    30,047.59x = 354,373,905.04
  5. Step 5: Solve for x
    x = 354,373,905.04/30,047.59
  6. Step 6: Final answer
    x = 11,793.76

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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.