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Finding the Fourth Proportional to 15,812, 21,822.48 and 9,188

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Solution

The fourth proportional to 15,812, 21,822.48 and 9,188 is: 12,680.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,812 : 21,822.48 = 9,188 : x
  2. Step 2: Convert to fraction form
    15,812/21,822.48 = 9,188/x
  3. Step 3: Cross multiply
    15,812x = 21,822.48 × 9,188
  4. Step 4: Simplify right side
    15,812x = 200,504,946.24
  5. Step 5: Solve for x
    x = 200,504,946.24/15,812
  6. Step 6: Final answer
    x = 12,680.56

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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.