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Finding the Fourth Proportional to 2,050.66, 3,076.43 and 664.13

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Solution

The fourth proportional to 2,050.66, 3,076.43 and 664.13 is: 996.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.66 : 3,076.43 = 664.13 : x
  2. Step 2: Convert to fraction form
    2,050.66/3,076.43 = 664.13/x
  3. Step 3: Cross multiply
    2,050.66x = 3,076.43 × 664.13
  4. Step 4: Simplify right side
    2,050.66x = 2,043,153.83
  5. Step 5: Solve for x
    x = 2,043,153.83/2,050.66
  6. Step 6: Final answer
    x = 996.34

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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.