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Finding the Fourth Proportional to 22,190.16, 30,626.38 and 13,115.16

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Solution

The fourth proportional to 22,190.16, 30,626.38 and 13,115.16 is: 18,101.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,190.16 : 30,626.38 = 13,115.16 : x
  2. Step 2: Convert to fraction form
    22,190.16/30,626.38 = 13,115.16/x
  3. Step 3: Cross multiply
    22,190.16x = 30,626.38 × 13,115.16
  4. Step 4: Simplify right side
    22,190.16x = 401,669,720.79
  5. Step 5: Solve for x
    x = 401,669,720.79/22,190.16
  6. Step 6: Final answer
    x = 18,101.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.