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Finding the Fourth Proportional to 5,786.78, 8,679.20 and 2,090.75

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Solution

The fourth proportional to 5,786.78, 8,679.20 and 2,090.75 is: 3,135.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.78 : 8,679.20 = 2,090.75 : x
  2. Step 2: Convert to fraction form
    5,786.78/8,679.20 = 2,090.75/x
  3. Step 3: Cross multiply
    5,786.78x = 8,679.20 × 2,090.75
  4. Step 4: Simplify right side
    5,786.78x = 18,145,983.55
  5. Step 5: Solve for x
    x = 18,145,983.55/5,786.78
  6. Step 6: Final answer
    x = 3,135.77

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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.