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Finding the Fourth Proportional to 20,884.98, 31,334.49 and 7,738.41

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Solution

The fourth proportional to 20,884.98, 31,334.49 and 7,738.41 is: 11,610.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,884.98 : 31,334.49 = 7,738.41 : x
  2. Step 2: Convert to fraction form
    20,884.98/31,334.49 = 7,738.41/x
  3. Step 3: Cross multiply
    20,884.98x = 31,334.49 × 7,738.41
  4. Step 4: Simplify right side
    20,884.98x = 242,479,130.76
  5. Step 5: Solve for x
    x = 242,479,130.76/20,884.98
  6. Step 6: Final answer
    x = 11,610.22

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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.