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Finding the Fourth Proportional to 15,306, 21,122.28 and 8,682

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Solution

The fourth proportional to 15,306, 21,122.28 and 8,682 is: 11,981.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,306 : 21,122.28 = 8,682 : x
  2. Step 2: Convert to fraction form
    15,306/21,122.28 = 8,682/x
  3. Step 3: Cross multiply
    15,306x = 21,122.28 × 8,682
  4. Step 4: Simplify right side
    15,306x = 183,383,634.96
  5. Step 5: Solve for x
    x = 183,383,634.96/15,306
  6. Step 6: Final answer
    x = 11,981.16

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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.