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Finding the Fourth Proportional to 3,965, 5,948.94 and 3,645.32

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Solution

The fourth proportional to 3,965, 5,948.94 and 3,645.32 is: 5,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965 : 5,948.94 = 3,645.32 : x
  2. Step 2: Convert to fraction form
    3,965/5,948.94 = 3,645.32/x
  3. Step 3: Cross multiply
    3,965x = 5,948.94 × 3,645.32
  4. Step 4: Simplify right side
    3,965x = 21,685,789.96
  5. Step 5: Solve for x
    x = 21,685,789.96/3,965
  6. Step 6: Final answer
    x = 5,469.30

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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.