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Finding the Fourth Proportional to 6,754.50, 9,322.29 and 3,960

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Solution

The fourth proportional to 6,754.50, 9,322.29 and 3,960 is: 5,465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.50 : 9,322.29 = 3,960 : x
  2. Step 2: Convert to fraction form
    6,754.50/9,322.29 = 3,960/x
  3. Step 3: Cross multiply
    6,754.50x = 9,322.29 × 3,960
  4. Step 4: Simplify right side
    6,754.50x = 36,916,268.40
  5. Step 5: Solve for x
    x = 36,916,268.40/6,754.50
  6. Step 6: Final answer
    x = 5,465.43

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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.