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Finding the Fourth Proportional to 3,650.81, 5,476.31 and 1,309.64

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Solution

The fourth proportional to 3,650.81, 5,476.31 and 1,309.64 is: 1,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.81 : 5,476.31 = 1,309.64 : x
  2. Step 2: Convert to fraction form
    3,650.81/5,476.31 = 1,309.64/x
  3. Step 3: Cross multiply
    3,650.81x = 5,476.31 × 1,309.64
  4. Step 4: Simplify right side
    3,650.81x = 7,171,960.70
  5. Step 5: Solve for x
    x = 7,171,960.70/3,650.81
  6. Step 6: Final answer
    x = 1,964.49

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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.