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Finding the Fourth Proportional to 21,694.64, 29,938.21 and 12,263.00

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Solution

The fourth proportional to 21,694.64, 29,938.21 and 12,263.00 is: 16,922.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,694.64 : 29,938.21 = 12,263.00 : x
  2. Step 2: Convert to fraction form
    21,694.64/29,938.21 = 12,263.00/x
  3. Step 3: Cross multiply
    21,694.64x = 29,938.21 × 12,263.00
  4. Step 4: Simplify right side
    21,694.64x = 367,132,088.88
  5. Step 5: Solve for x
    x = 367,132,088.88/21,694.64
  6. Step 6: Final answer
    x = 16,922.71

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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.