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Finding the Fourth Proportional to 6,965, 9,611.72 and 3,821.32

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Solution

The fourth proportional to 6,965, 9,611.72 and 3,821.32 is: 5,273.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965 : 9,611.72 = 3,821.32 : x
  2. Step 2: Convert to fraction form
    6,965/9,611.72 = 3,821.32/x
  3. Step 3: Cross multiply
    6,965x = 9,611.72 × 3,821.32
  4. Step 4: Simplify right side
    6,965x = 36,729,457.87
  5. Step 5: Solve for x
    x = 36,729,457.87/6,965
  6. Step 6: Final answer
    x = 5,273.43

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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.