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Finding the Fourth Proportional to 20,516.52, 30,774.77 and 4,934.14

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Solution

The fourth proportional to 20,516.52, 30,774.77 and 4,934.14 is: 7,401.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,516.52 : 30,774.77 = 4,934.14 : x
  2. Step 2: Convert to fraction form
    20,516.52/30,774.77 = 4,934.14/x
  3. Step 3: Cross multiply
    20,516.52x = 30,774.77 × 4,934.14
  4. Step 4: Simplify right side
    20,516.52x = 151,847,023.65
  5. Step 5: Solve for x
    x = 151,847,023.65/20,516.52
  6. Step 6: Final answer
    x = 7,401.21

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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.