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Finding the Fourth Proportional to 21,698, 29,943.27 and 11,762

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Solution

The fourth proportional to 21,698, 29,943.27 and 11,762 is: 16,231.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,698 : 29,943.27 = 11,762 : x
  2. Step 2: Convert to fraction form
    21,698/29,943.27 = 11,762/x
  3. Step 3: Cross multiply
    21,698x = 29,943.27 × 11,762
  4. Step 4: Simplify right side
    21,698x = 352,192,741.74
  5. Step 5: Solve for x
    x = 352,192,741.74/21,698
  6. Step 6: Final answer
    x = 16,231.58

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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.