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Finding the Fourth Proportional to 13,759.71, 20,635.50 and 5,862.13

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Solution

The fourth proportional to 13,759.71, 20,635.50 and 5,862.13 is: 8,791.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,759.71 : 20,635.50 = 5,862.13 : x
  2. Step 2: Convert to fraction form
    13,759.71/20,635.50 = 5,862.13/x
  3. Step 3: Cross multiply
    13,759.71x = 20,635.50 × 5,862.13
  4. Step 4: Simplify right side
    13,759.71x = 120,967,983.62
  5. Step 5: Solve for x
    x = 120,967,983.62/13,759.71
  6. Step 6: Final answer
    x = 8,791.46

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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.