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Finding the Fourth Proportional to 10,622, 15,930.40 and 3,601.84

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Solution

The fourth proportional to 10,622, 15,930.40 and 3,601.84 is: 5,401.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622 : 15,930.40 = 3,601.84 : x
  2. Step 2: Convert to fraction form
    10,622/15,930.40 = 3,601.84/x
  3. Step 3: Cross multiply
    10,622x = 15,930.40 × 3,601.84
  4. Step 4: Simplify right side
    10,622x = 57,378,751.94
  5. Step 5: Solve for x
    x = 57,378,751.94/10,622
  6. Step 6: Final answer
    x = 5,401.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.