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Finding the Fourth Proportional to 3,650.07, 5,474.49 and 1,309.67

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Solution

The fourth proportional to 3,650.07, 5,474.49 and 1,309.67 is: 1,964.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.07 : 5,474.49 = 1,309.67 : x
  2. Step 2: Convert to fraction form
    3,650.07/5,474.49 = 1,309.67/x
  3. Step 3: Cross multiply
    3,650.07x = 5,474.49 × 1,309.67
  4. Step 4: Simplify right side
    3,650.07x = 7,169,747.95
  5. Step 5: Solve for x
    x = 7,169,747.95/3,650.07
  6. Step 6: Final answer
    x = 1,964.28

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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.