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Finding the Fourth Proportional to 10,491.88, 15,738.50 and 3,472.37

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Solution

The fourth proportional to 10,491.88, 15,738.50 and 3,472.37 is: 5,208.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.88 : 15,738.50 = 3,472.37 : x
  2. Step 2: Convert to fraction form
    10,491.88/15,738.50 = 3,472.37/x
  3. Step 3: Cross multiply
    10,491.88x = 15,738.50 × 3,472.37
  4. Step 4: Simplify right side
    10,491.88x = 54,649,884.25
  5. Step 5: Solve for x
    x = 54,649,884.25/10,491.88
  6. Step 6: Final answer
    x = 5,208.78

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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.