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Finding the Fourth Proportional to 21,758, 30,026.12 and 11,822

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Solution

The fourth proportional to 21,758, 30,026.12 and 11,822 is: 16,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,758 : 30,026.12 = 11,822 : x
  2. Step 2: Convert to fraction form
    21,758/30,026.12 = 11,822/x
  3. Step 3: Cross multiply
    21,758x = 30,026.12 × 11,822
  4. Step 4: Simplify right side
    21,758x = 354,968,790.64
  5. Step 5: Solve for x
    x = 354,968,790.64/21,758
  6. Step 6: Final answer
    x = 16,314.40

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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.