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Finding the Fourth Proportional to 20,617, 30,930.78 and 6,766.12

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Solution

The fourth proportional to 20,617, 30,930.78 and 6,766.12 is: 10,150.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,617 : 30,930.78 = 6,766.12 : x
  2. Step 2: Convert to fraction form
    20,617/30,930.78 = 6,766.12/x
  3. Step 3: Cross multiply
    20,617x = 30,930.78 × 6,766.12
  4. Step 4: Simplify right side
    20,617x = 209,281,369.17
  5. Step 5: Solve for x
    x = 209,281,369.17/20,617
  6. Step 6: Final answer
    x = 10,150.91

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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.