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Finding the Fourth Proportional to 3,181.66, 4,775.12 and 1,622.81

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Solution

The fourth proportional to 3,181.66, 4,775.12 and 1,622.81 is: 2,435.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.66 : 4,775.12 = 1,622.81 : x
  2. Step 2: Convert to fraction form
    3,181.66/4,775.12 = 1,622.81/x
  3. Step 3: Cross multiply
    3,181.66x = 4,775.12 × 1,622.81
  4. Step 4: Simplify right side
    3,181.66x = 7,749,112.49
  5. Step 5: Solve for x
    x = 7,749,112.49/3,181.66
  6. Step 6: Final answer
    x = 2,435.56

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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.