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Finding the Fourth Proportional to 21,965.62, 32,951.64 and 6,381.22

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Solution

The fourth proportional to 21,965.62, 32,951.64 and 6,381.22 is: 9,572.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,965.62 : 32,951.64 = 6,381.22 : x
  2. Step 2: Convert to fraction form
    21,965.62/32,951.64 = 6,381.22/x
  3. Step 3: Cross multiply
    21,965.62x = 32,951.64 × 6,381.22
  4. Step 4: Simplify right side
    21,965.62x = 210,271,664.20
  5. Step 5: Solve for x
    x = 210,271,664.20/21,965.62
  6. Step 6: Final answer
    x = 9,572.76

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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.