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Finding the Fourth Proportional to 15,266, 21,067.08 and 8,642

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Solution

The fourth proportional to 15,266, 21,067.08 and 8,642 is: 11,925.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,266 : 21,067.08 = 8,642 : x
  2. Step 2: Convert to fraction form
    15,266/21,067.08 = 8,642/x
  3. Step 3: Cross multiply
    15,266x = 21,067.08 × 8,642
  4. Step 4: Simplify right side
    15,266x = 182,061,705.36
  5. Step 5: Solve for x
    x = 182,061,705.36/15,266
  6. Step 6: Final answer
    x = 11,925.96

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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.