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Finding the Fourth Proportional to 13,735.61, 20,589.28 and 5,412.26

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Solution

The fourth proportional to 13,735.61, 20,589.28 and 5,412.26 is: 8,112.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.61 : 20,589.28 = 5,412.26 : x
  2. Step 2: Convert to fraction form
    13,735.61/20,589.28 = 5,412.26/x
  3. Step 3: Cross multiply
    13,735.61x = 20,589.28 × 5,412.26
  4. Step 4: Simplify right side
    13,735.61x = 111,434,536.57
  5. Step 5: Solve for x
    x = 111,434,536.57/13,735.61
  6. Step 6: Final answer
    x = 8,112.82

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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.