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Finding the Fourth Proportional to 15,144, 20,900 and 8,521.28

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Solution

The fourth proportional to 15,144, 20,900 and 8,521.28 is: 11,760.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,144 : 20,900 = 8,521.28 : x
  2. Step 2: Convert to fraction form
    15,144/20,900 = 8,521.28/x
  3. Step 3: Cross multiply
    15,144x = 20,900 × 8,521.28
  4. Step 4: Simplify right side
    15,144x = 178,094,752
  5. Step 5: Solve for x
    x = 178,094,752/15,144
  6. Step 6: Final answer
    x = 11,760.09

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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.