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Finding the Fourth Proportional to 20,857.78, 31,286.67 and 9,619.03

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Solution

The fourth proportional to 20,857.78, 31,286.67 and 9,619.03 is: 14,428.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,857.78 : 31,286.67 = 9,619.03 : x
  2. Step 2: Convert to fraction form
    20,857.78/31,286.67 = 9,619.03/x
  3. Step 3: Cross multiply
    20,857.78x = 31,286.67 × 9,619.03
  4. Step 4: Simplify right side
    20,857.78x = 300,947,417.33
  5. Step 5: Solve for x
    x = 300,947,417.33/20,857.78
  6. Step 6: Final answer
    x = 14,428.55

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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.