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Finding the Fourth Proportional to 21,797.68, 32,690.40 and 6,211.12

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Solution

The fourth proportional to 21,797.68, 32,690.40 and 6,211.12 is: 9,314.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,797.68 : 32,690.40 = 6,211.12 : x
  2. Step 2: Convert to fraction form
    21,797.68/32,690.40 = 6,211.12/x
  3. Step 3: Cross multiply
    21,797.68x = 32,690.40 × 6,211.12
  4. Step 4: Simplify right side
    21,797.68x = 203,043,997.25
  5. Step 5: Solve for x
    x = 203,043,997.25/21,797.68
  6. Step 6: Final answer
    x = 9,314.94

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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.