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Finding the Fourth Proportional to 6,687.72, 9,230.34 and 3,893.64

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Solution

The fourth proportional to 6,687.72, 9,230.34 and 3,893.64 is: 5,373.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.72 : 9,230.34 = 3,893.64 : x
  2. Step 2: Convert to fraction form
    6,687.72/9,230.34 = 3,893.64/x
  3. Step 3: Cross multiply
    6,687.72x = 9,230.34 × 3,893.64
  4. Step 4: Simplify right side
    6,687.72x = 35,939,621.04
  5. Step 5: Solve for x
    x = 35,939,621.04/6,687.72
  6. Step 6: Final answer
    x = 5,373.97

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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.