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Finding the Fourth Proportional to 3,689.63, 5,535.44 and 1,609.81

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Solution

The fourth proportional to 3,689.63, 5,535.44 and 1,609.81 is: 2,415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.63 : 5,535.44 = 1,609.81 : x
  2. Step 2: Convert to fraction form
    3,689.63/5,535.44 = 1,609.81/x
  3. Step 3: Cross multiply
    3,689.63x = 5,535.44 × 1,609.81
  4. Step 4: Simplify right side
    3,689.63x = 8,910,970.94
  5. Step 5: Solve for x
    x = 8,910,970.94/3,689.63
  6. Step 6: Final answer
    x = 2,415.14

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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.