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Finding the Fourth Proportional to 2,764.16, 4,146.68 and 816.56

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Solution

The fourth proportional to 2,764.16, 4,146.68 and 816.56 is: 1,224.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.16 : 4,146.68 = 816.56 : x
  2. Step 2: Convert to fraction form
    2,764.16/4,146.68 = 816.56/x
  3. Step 3: Cross multiply
    2,764.16x = 4,146.68 × 816.56
  4. Step 4: Simplify right side
    2,764.16x = 3,385,994.33
  5. Step 5: Solve for x
    x = 3,385,994.33/2,764.16
  6. Step 6: Final answer
    x = 1,224.97

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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.