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Finding the Fourth Proportional to 13,687.26, 20,526.84 and 5,894.25

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Solution

The fourth proportional to 13,687.26, 20,526.84 and 5,894.25 is: 8,839.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,687.26 : 20,526.84 = 5,894.25 : x
  2. Step 2: Convert to fraction form
    13,687.26/20,526.84 = 5,894.25/x
  3. Step 3: Cross multiply
    13,687.26x = 20,526.84 × 5,894.25
  4. Step 4: Simplify right side
    13,687.26x = 120,990,326.67
  5. Step 5: Solve for x
    x = 120,990,326.67/13,687.26
  6. Step 6: Final answer
    x = 8,839.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.