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Finding the Fourth Proportional to 20,672.42, 31,007 and 6,628.71

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Solution

The fourth proportional to 20,672.42, 31,007 and 6,628.71 is: 9,942.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,672.42 : 31,007 = 6,628.71 : x
  2. Step 2: Convert to fraction form
    20,672.42/31,007 = 6,628.71/x
  3. Step 3: Cross multiply
    20,672.42x = 31,007 × 6,628.71
  4. Step 4: Simplify right side
    20,672.42x = 205,536,410.97
  5. Step 5: Solve for x
    x = 205,536,410.97/20,672.42
  6. Step 6: Final answer
    x = 9,942.54

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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.