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Finding the Fourth Proportional to 21,164.73, 31,747.41 and 8,013.57

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Solution

The fourth proportional to 21,164.73, 31,747.41 and 8,013.57 is: 12,020.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,164.73 : 31,747.41 = 8,013.57 : x
  2. Step 2: Convert to fraction form
    21,164.73/31,747.41 = 8,013.57/x
  3. Step 3: Cross multiply
    21,164.73x = 31,747.41 × 8,013.57
  4. Step 4: Simplify right side
    21,164.73x = 254,410,092.35
  5. Step 5: Solve for x
    x = 254,410,092.35/21,164.73
  6. Step 6: Final answer
    x = 12,020.47

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1.5x scale

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.