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Finding the Fourth Proportional to 3,435.86, 5,141.48 and 2,975.22

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Solution

The fourth proportional to 3,435.86, 5,141.48 and 2,975.22 is: 4,452.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.86 : 5,141.48 = 2,975.22 : x
  2. Step 2: Convert to fraction form
    3,435.86/5,141.48 = 2,975.22/x
  3. Step 3: Cross multiply
    3,435.86x = 5,141.48 × 2,975.22
  4. Step 4: Simplify right side
    3,435.86x = 15,297,019.25
  5. Step 5: Solve for x
    x = 15,297,019.25/3,435.86
  6. Step 6: Final answer
    x = 4,452.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.