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Finding the Fourth Proportional to 3,129.76, 4,694.16 and 821.44

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Solution

The fourth proportional to 3,129.76, 4,694.16 and 821.44 is: 1,232.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.76 : 4,694.16 = 821.44 : x
  2. Step 2: Convert to fraction form
    3,129.76/4,694.16 = 821.44/x
  3. Step 3: Cross multiply
    3,129.76x = 4,694.16 × 821.44
  4. Step 4: Simplify right side
    3,129.76x = 3,855,970.79
  5. Step 5: Solve for x
    x = 3,855,970.79/3,129.76
  6. Step 6: Final answer
    x = 1,232.03

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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.