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Finding the Fourth Proportional to 15,848, 21,876 and 9,224

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Solution

The fourth proportional to 15,848, 21,876 and 9,224 is: 12,732.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,848 : 21,876 = 9,224 : x
  2. Step 2: Convert to fraction form
    15,848/21,876 = 9,224/x
  3. Step 3: Cross multiply
    15,848x = 21,876 × 9,224
  4. Step 4: Simplify right side
    15,848x = 201,784,224
  5. Step 5: Solve for x
    x = 201,784,224/15,848
  6. Step 6: Final answer
    x = 12,732.47

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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.