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Finding the Fourth Proportional to 2,728.90, 4,093.44 and 780.94

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Solution

The fourth proportional to 2,728.90, 4,093.44 and 780.94 is: 1,171.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.90 : 4,093.44 = 780.94 : x
  2. Step 2: Convert to fraction form
    2,728.90/4,093.44 = 780.94/x
  3. Step 3: Cross multiply
    2,728.90x = 4,093.44 × 780.94
  4. Step 4: Simplify right side
    2,728.90x = 3,196,731.03
  5. Step 5: Solve for x
    x = 3,196,731.03/2,728.90
  6. Step 6: Final answer
    x = 1,171.44

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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.