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Finding the Fourth Proportional to 13,412.14, 20,118.22 and 5,092.16

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Solution

The fourth proportional to 13,412.14, 20,118.22 and 5,092.16 is: 7,638.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.14 : 20,118.22 = 5,092.16 : x
  2. Step 2: Convert to fraction form
    13,412.14/20,118.22 = 5,092.16/x
  3. Step 3: Cross multiply
    13,412.14x = 20,118.22 × 5,092.16
  4. Step 4: Simplify right side
    13,412.14x = 102,445,278.80
  5. Step 5: Solve for x
    x = 102,445,278.80/13,412.14
  6. Step 6: Final answer
    x = 7,638.25

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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.