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Finding the Fourth Proportional to 3,375, 5,065.34 and 1,816.16

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Solution

The fourth proportional to 3,375, 5,065.34 and 1,816.16 is: 2,725.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375 : 5,065.34 = 1,816.16 : x
  2. Step 2: Convert to fraction form
    3,375/5,065.34 = 1,816.16/x
  3. Step 3: Cross multiply
    3,375x = 5,065.34 × 1,816.16
  4. Step 4: Simplify right side
    3,375x = 9,199,433.49
  5. Step 5: Solve for x
    x = 9,199,433.49/3,375
  6. Step 6: Final answer
    x = 2,725.76

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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.