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Finding the Fourth Proportional to 13,610.94, 20,377.05 and 7,971.54

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Solution

The fourth proportional to 13,610.94, 20,377.05 and 7,971.54 is: 11,934.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,610.94 : 20,377.05 = 7,971.54 : x
  2. Step 2: Convert to fraction form
    13,610.94/20,377.05 = 7,971.54/x
  3. Step 3: Cross multiply
    13,610.94x = 20,377.05 × 7,971.54
  4. Step 4: Simplify right side
    13,610.94x = 162,436,469.16
  5. Step 5: Solve for x
    x = 162,436,469.16/13,610.94
  6. Step 6: Final answer
    x = 11,934.26

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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.