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Finding the Fourth Proportional to 21,694, 29,937.74 and 11,758

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Solution

The fourth proportional to 21,694, 29,937.74 and 11,758 is: 16,226.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,694 : 29,937.74 = 11,758 : x
  2. Step 2: Convert to fraction form
    21,694/29,937.74 = 11,758/x
  3. Step 3: Cross multiply
    21,694x = 29,937.74 × 11,758
  4. Step 4: Simplify right side
    21,694x = 352,007,946.92
  5. Step 5: Solve for x
    x = 352,007,946.92/21,694
  6. Step 6: Final answer
    x = 16,226.05

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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.