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Finding the Fourth Proportional to 1,694.12, 2,541.20 and 816.43

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Solution

The fourth proportional to 1,694.12, 2,541.20 and 816.43 is: 1,224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.12 : 2,541.20 = 816.43 : x
  2. Step 2: Convert to fraction form
    1,694.12/2,541.20 = 816.43/x
  3. Step 3: Cross multiply
    1,694.12x = 2,541.20 × 816.43
  4. Step 4: Simplify right side
    1,694.12x = 2,074,711.01
  5. Step 5: Solve for x
    x = 2,074,711.01/1,694.12
  6. Step 6: Final answer
    x = 1,224.66

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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.