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Finding the Fourth Proportional to 2,728.60, 4,091.67 and 780.34

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Solution

The fourth proportional to 2,728.60, 4,091.67 and 780.34 is: 1,170.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.60 : 4,091.67 = 780.34 : x
  2. Step 2: Convert to fraction form
    2,728.60/4,091.67 = 780.34/x
  3. Step 3: Cross multiply
    2,728.60x = 4,091.67 × 780.34
  4. Step 4: Simplify right side
    2,728.60x = 3,192,893.77
  5. Step 5: Solve for x
    x = 3,192,893.77/2,728.60
  6. Step 6: Final answer
    x = 1,170.16

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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.