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Finding the Fourth Proportional to 2,764.06, 4,146.09 and 816.41

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Solution

The fourth proportional to 2,764.06, 4,146.09 and 816.41 is: 1,224.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.06 : 4,146.09 = 816.41 : x
  2. Step 2: Convert to fraction form
    2,764.06/4,146.09 = 816.41/x
  3. Step 3: Cross multiply
    2,764.06x = 4,146.09 × 816.41
  4. Step 4: Simplify right side
    2,764.06x = 3,384,916.64
  5. Step 5: Solve for x
    x = 3,384,916.64/2,764.06
  6. Step 6: Final answer
    x = 1,224.62

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1.5x scale

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.