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Finding the Fourth Proportional to 20,594.34, 30,874.50 and 9,491.70

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Solution

The fourth proportional to 20,594.34, 30,874.50 and 9,491.70 is: 14,229.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,594.34 : 30,874.50 = 9,491.70 : x
  2. Step 2: Convert to fraction form
    20,594.34/30,874.50 = 9,491.70/x
  3. Step 3: Cross multiply
    20,594.34x = 30,874.50 × 9,491.70
  4. Step 4: Simplify right side
    20,594.34x = 293,051,491.65
  5. Step 5: Solve for x
    x = 293,051,491.65/20,594.34
  6. Step 6: Final answer
    x = 14,229.71

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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.