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Finding the Fourth Proportional to 3,686.70, 5,532.81 and 1,740.27

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Solution

The fourth proportional to 3,686.70, 5,532.81 and 1,740.27 is: 2,611.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.70 : 5,532.81 = 1,740.27 : x
  2. Step 2: Convert to fraction form
    3,686.70/5,532.81 = 1,740.27/x
  3. Step 3: Cross multiply
    3,686.70x = 5,532.81 × 1,740.27
  4. Step 4: Simplify right side
    3,686.70x = 9,628,583.26
  5. Step 5: Solve for x
    x = 9,628,583.26/3,686.70
  6. Step 6: Final answer
    x = 2,611.71

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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.