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Finding the Fourth Proportional to 3,900.37, 5,845.38 and 1,706.71

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Solution

The fourth proportional to 3,900.37, 5,845.38 and 1,706.71 is: 2,557.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.37 : 5,845.38 = 1,706.71 : x
  2. Step 2: Convert to fraction form
    3,900.37/5,845.38 = 1,706.71/x
  3. Step 3: Cross multiply
    3,900.37x = 5,845.38 × 1,706.71
  4. Step 4: Simplify right side
    3,900.37x = 9,976,368.50
  5. Step 5: Solve for x
    x = 9,976,368.50/3,900.37
  6. Step 6: Final answer
    x = 2,557.80

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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.