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Finding the Fourth Proportional to 38,441, 57,665.28 and 10,739

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Solution

The fourth proportional to 38,441, 57,665.28 and 10,739 is: 16,109.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,441 : 57,665.28 = 10,739 : x
  2. Step 2: Convert to fraction form
    38,441/57,665.28 = 10,739/x
  3. Step 3: Cross multiply
    38,441x = 57,665.28 × 10,739
  4. Step 4: Simplify right side
    38,441x = 619,267,441.92
  5. Step 5: Solve for x
    x = 619,267,441.92/38,441
  6. Step 6: Final answer
    x = 16,109.56

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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.