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Finding the Fourth Proportional to 21,621, 29,837 and 11,685

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Solution

The fourth proportional to 21,621, 29,837 and 11,685 is: 16,125.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,621 : 29,837 = 11,685 : x
  2. Step 2: Convert to fraction form
    21,621/29,837 = 11,685/x
  3. Step 3: Cross multiply
    21,621x = 29,837 × 11,685
  4. Step 4: Simplify right side
    21,621x = 348,645,345
  5. Step 5: Solve for x
    x = 348,645,345/21,621
  6. Step 6: Final answer
    x = 16,125.31

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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.