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Finding the Fourth Proportional to 21,657, 29,886.84 and 11,721

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Solution

The fourth proportional to 21,657, 29,886.84 and 11,721 is: 16,175.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,657 : 29,886.84 = 11,721 : x
  2. Step 2: Convert to fraction form
    21,657/29,886.84 = 11,721/x
  3. Step 3: Cross multiply
    21,657x = 29,886.84 × 11,721
  4. Step 4: Simplify right side
    21,657x = 350,303,651.64
  5. Step 5: Solve for x
    x = 350,303,651.64/21,657
  6. Step 6: Final answer
    x = 16,175.08

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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.