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Finding the Fourth Proportional to 15,150, 20,907 and 8,526

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Solution

The fourth proportional to 15,150, 20,907 and 8,526 is: 11,765.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,150 : 20,907 = 8,526 : x
  2. Step 2: Convert to fraction form
    15,150/20,907 = 8,526/x
  3. Step 3: Cross multiply
    15,150x = 20,907 × 8,526
  4. Step 4: Simplify right side
    15,150x = 178,253,082
  5. Step 5: Solve for x
    x = 178,253,082/15,150
  6. Step 6: Final answer
    x = 11,765.88

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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.