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Finding the Fourth Proportional to 20,668.70, 31,004.88 and 6,629.38

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Solution

The fourth proportional to 20,668.70, 31,004.88 and 6,629.38 is: 9,944.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,668.70 : 31,004.88 = 6,629.38 : x
  2. Step 2: Convert to fraction form
    20,668.70/31,004.88 = 6,629.38/x
  3. Step 3: Cross multiply
    20,668.70x = 31,004.88 × 6,629.38
  4. Step 4: Simplify right side
    20,668.70x = 205,543,029.00
  5. Step 5: Solve for x
    x = 205,543,029.00/20,668.70
  6. Step 6: Final answer
    x = 9,944.65

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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.