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Finding the Fourth Proportional to 3,893.81, 5,835.70 and 1,425.68

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Solution

The fourth proportional to 3,893.81, 5,835.70 and 1,425.68 is: 2,136.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.81 : 5,835.70 = 1,425.68 : x
  2. Step 2: Convert to fraction form
    3,893.81/5,835.70 = 1,425.68/x
  3. Step 3: Cross multiply
    3,893.81x = 5,835.70 × 1,425.68
  4. Step 4: Simplify right side
    3,893.81x = 8,319,860.07
  5. Step 5: Solve for x
    x = 8,319,860.07/3,893.81
  6. Step 6: Final answer
    x = 2,136.69

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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.