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Finding the Fourth Proportional to 6,229, 8,593.50 and 3,991.24

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Solution

The fourth proportional to 6,229, 8,593.50 and 3,991.24 is: 5,506.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229 : 8,593.50 = 3,991.24 : x
  2. Step 2: Convert to fraction form
    6,229/8,593.50 = 3,991.24/x
  3. Step 3: Cross multiply
    6,229x = 8,593.50 × 3,991.24
  4. Step 4: Simplify right side
    6,229x = 34,298,720.94
  5. Step 5: Solve for x
    x = 34,298,720.94/6,229
  6. Step 6: Final answer
    x = 5,506.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.