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Finding the Fourth Proportional to 9,205.21, 13,810.02 and 2,965.80

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Solution

The fourth proportional to 9,205.21, 13,810.02 and 2,965.80 is: 4,449.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.21 : 13,810.02 = 2,965.80 : x
  2. Step 2: Convert to fraction form
    9,205.21/13,810.02 = 2,965.80/x
  3. Step 3: Cross multiply
    9,205.21x = 13,810.02 × 2,965.80
  4. Step 4: Simplify right side
    9,205.21x = 40,957,757.32
  5. Step 5: Solve for x
    x = 40,957,757.32/9,205.21
  6. Step 6: Final answer
    x = 4,449.41

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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.