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Finding the Fourth Proportional to 13,496.68, 20,247.74 and 5,705.48

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Solution

The fourth proportional to 13,496.68, 20,247.74 and 5,705.48 is: 8,559.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496.68 : 20,247.74 = 5,705.48 : x
  2. Step 2: Convert to fraction form
    13,496.68/20,247.74 = 5,705.48/x
  3. Step 3: Cross multiply
    13,496.68x = 20,247.74 × 5,705.48
  4. Step 4: Simplify right side
    13,496.68x = 115,523,075.62
  5. Step 5: Solve for x
    x = 115,523,075.62/13,496.68
  6. Step 6: Final answer
    x = 8,559.37

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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.