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Finding the Fourth Proportional to 3,129.93, 4,694.54 and 821.61

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Solution

The fourth proportional to 3,129.93, 4,694.54 and 821.61 is: 1,232.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.93 : 4,694.54 = 821.61 : x
  2. Step 2: Convert to fraction form
    3,129.93/4,694.54 = 821.61/x
  3. Step 3: Cross multiply
    3,129.93x = 4,694.54 × 821.61
  4. Step 4: Simplify right side
    3,129.93x = 3,857,076.90
  5. Step 5: Solve for x
    x = 3,857,076.90/3,129.93
  6. Step 6: Final answer
    x = 1,232.32

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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.