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Finding the Fourth Proportional to 5,286.81, 7,932.30 and 2,168.31

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Solution

The fourth proportional to 5,286.81, 7,932.30 and 2,168.31 is: 3,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.81 : 7,932.30 = 2,168.31 : x
  2. Step 2: Convert to fraction form
    5,286.81/7,932.30 = 2,168.31/x
  3. Step 3: Cross multiply
    5,286.81x = 7,932.30 × 2,168.31
  4. Step 4: Simplify right side
    5,286.81x = 17,199,707.03
  5. Step 5: Solve for x
    x = 17,199,707.03/5,286.81
  6. Step 6: Final answer
    x = 3,253.32

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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.