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Finding the Fourth Proportional to 6,638.94, 9,165.42 and 3,987

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Solution

The fourth proportional to 6,638.94, 9,165.42 and 3,987 is: 5,504.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.94 : 9,165.42 = 3,987 : x
  2. Step 2: Convert to fraction form
    6,638.94/9,165.42 = 3,987/x
  3. Step 3: Cross multiply
    6,638.94x = 9,165.42 × 3,987
  4. Step 4: Simplify right side
    6,638.94x = 36,542,529.54
  5. Step 5: Solve for x
    x = 36,542,529.54/6,638.94
  6. Step 6: Final answer
    x = 5,504.27

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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.