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Finding the Fourth Proportional to 5,786.72, 8,677.10 and 2,825.30

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Solution

The fourth proportional to 5,786.72, 8,677.10 and 2,825.30 is: 4,236.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.72 : 8,677.10 = 2,825.30 : x
  2. Step 2: Convert to fraction form
    5,786.72/8,677.10 = 2,825.30/x
  3. Step 3: Cross multiply
    5,786.72x = 8,677.10 × 2,825.30
  4. Step 4: Simplify right side
    5,786.72x = 24,515,418.20
  5. Step 5: Solve for x
    x = 24,515,418.20/5,786.72
  6. Step 6: Final answer
    x = 4,236.49

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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.