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Finding the Fourth Proportional to 2,764.08, 4,146.89 and 816.30

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Solution

The fourth proportional to 2,764.08, 4,146.89 and 816.30 is: 1,224.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.08 : 4,146.89 = 816.30 : x
  2. Step 2: Convert to fraction form
    2,764.08/4,146.89 = 816.30/x
  3. Step 3: Cross multiply
    2,764.08x = 4,146.89 × 816.30
  4. Step 4: Simplify right side
    2,764.08x = 3,385,102.23
  5. Step 5: Solve for x
    x = 3,385,102.23/2,764.08
  6. Step 6: Final answer
    x = 1,224.68

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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.