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Finding the Fourth Proportional to 6,538.38, 9,809.23 and 1,921.38

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Solution

The fourth proportional to 6,538.38, 9,809.23 and 1,921.38 is: 2,882.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.38 : 9,809.23 = 1,921.38 : x
  2. Step 2: Convert to fraction form
    6,538.38/9,809.23 = 1,921.38/x
  3. Step 3: Cross multiply
    6,538.38x = 9,809.23 × 1,921.38
  4. Step 4: Simplify right side
    6,538.38x = 18,847,258.34
  5. Step 5: Solve for x
    x = 18,847,258.34/6,538.38
  6. Step 6: Final answer
    x = 2,882.56

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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.