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Finding the Fourth Proportional to 30,251.80, 45,379.19 and 8,065.38

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Solution

The fourth proportional to 30,251.80, 45,379.19 and 8,065.38 is: 12,098.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,251.80 : 45,379.19 = 8,065.38 : x
  2. Step 2: Convert to fraction form
    30,251.80/45,379.19 = 8,065.38/x
  3. Step 3: Cross multiply
    30,251.80x = 45,379.19 × 8,065.38
  4. Step 4: Simplify right side
    30,251.80x = 366,000,411.44
  5. Step 5: Solve for x
    x = 366,000,411.44/30,251.80
  6. Step 6: Final answer
    x = 12,098.47

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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.