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Finding the Fourth Proportional to 20,805.80, 31,205.63 and 7,655.11

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Solution

The fourth proportional to 20,805.80, 31,205.63 and 7,655.11 is: 11,481.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,805.80 : 31,205.63 = 7,655.11 : x
  2. Step 2: Convert to fraction form
    20,805.80/31,205.63 = 7,655.11/x
  3. Step 3: Cross multiply
    20,805.80x = 31,205.63 × 7,655.11
  4. Step 4: Simplify right side
    20,805.80x = 238,882,491.99
  5. Step 5: Solve for x
    x = 238,882,491.99/20,805.80
  6. Step 6: Final answer
    x = 11,481.53

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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.