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Finding the Fourth Proportional to 9,125.26, 13,687.90 and 2,969.26

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Solution

The fourth proportional to 9,125.26, 13,687.90 and 2,969.26 is: 4,453.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.26 : 13,687.90 = 2,969.26 : x
  2. Step 2: Convert to fraction form
    9,125.26/13,687.90 = 2,969.26/x
  3. Step 3: Cross multiply
    9,125.26x = 13,687.90 × 2,969.26
  4. Step 4: Simplify right side
    9,125.26x = 40,642,933.95
  5. Step 5: Solve for x
    x = 40,642,933.95/9,125.26
  6. Step 6: Final answer
    x = 4,453.89

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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.