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Finding the Fourth Proportional to 21,689.94, 29,956.72 and 14,604.06

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Solution

The fourth proportional to 21,689.94, 29,956.72 and 14,604.06 is: 20,170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,689.94 : 29,956.72 = 14,604.06 : x
  2. Step 2: Convert to fraction form
    21,689.94/29,956.72 = 14,604.06/x
  3. Step 3: Cross multiply
    21,689.94x = 29,956.72 × 14,604.06
  4. Step 4: Simplify right side
    21,689.94x = 437,489,736.28
  5. Step 5: Solve for x
    x = 437,489,736.28/21,689.94
  6. Step 6: Final answer
    x = 20,170.17

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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.