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Finding the Fourth Proportional to 21,626.64, 29,847.42 and 12,195

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Solution

The fourth proportional to 21,626.64, 29,847.42 and 12,195 is: 16,830.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,626.64 : 29,847.42 = 12,195 : x
  2. Step 2: Convert to fraction form
    21,626.64/29,847.42 = 12,195/x
  3. Step 3: Cross multiply
    21,626.64x = 29,847.42 × 12,195
  4. Step 4: Simplify right side
    21,626.64x = 363,989,286.90
  5. Step 5: Solve for x
    x = 363,989,286.90/21,626.64
  6. Step 6: Final answer
    x = 16,830.60

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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.