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Finding the Fourth Proportional to 3,765.89, 5,642.16 and 3,212.46

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Solution

The fourth proportional to 3,765.89, 5,642.16 and 3,212.46 is: 4,812.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.89 : 5,642.16 = 3,212.46 : x
  2. Step 2: Convert to fraction form
    3,765.89/5,642.16 = 3,212.46/x
  3. Step 3: Cross multiply
    3,765.89x = 5,642.16 × 3,212.46
  4. Step 4: Simplify right side
    3,765.89x = 18,125,201.27
  5. Step 5: Solve for x
    x = 18,125,201.27/3,765.89
  6. Step 6: Final answer
    x = 4,812.99

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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.