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Finding the Fourth Proportional to 3,609.77, 5,415.86 and 1,660.50

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Solution

The fourth proportional to 3,609.77, 5,415.86 and 1,660.50 is: 2,491.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.77 : 5,415.86 = 1,660.50 : x
  2. Step 2: Convert to fraction form
    3,609.77/5,415.86 = 1,660.50/x
  3. Step 3: Cross multiply
    3,609.77x = 5,415.86 × 1,660.50
  4. Step 4: Simplify right side
    3,609.77x = 8,993,039.68
  5. Step 5: Solve for x
    x = 8,993,039.68/3,609.77
  6. Step 6: Final answer
    x = 2,491.31

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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.