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Finding the Fourth Proportional to 21,768, 30,039.84 and 11,832

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Solution

The fourth proportional to 21,768, 30,039.84 and 11,832 is: 16,328.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,768 : 30,039.84 = 11,832 : x
  2. Step 2: Convert to fraction form
    21,768/30,039.84 = 11,832/x
  3. Step 3: Cross multiply
    21,768x = 30,039.84 × 11,832
  4. Step 4: Simplify right side
    21,768x = 355,431,386.88
  5. Step 5: Solve for x
    x = 355,431,386.88/21,768
  6. Step 6: Final answer
    x = 16,328.16

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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.