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Finding the Fourth Proportional to 3,892.35, 5,835 and 1,425.45

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Solution

The fourth proportional to 3,892.35, 5,835 and 1,425.45 is: 2,136.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.35 : 5,835 = 1,425.45 : x
  2. Step 2: Convert to fraction form
    3,892.35/5,835 = 1,425.45/x
  3. Step 3: Cross multiply
    3,892.35x = 5,835 × 1,425.45
  4. Step 4: Simplify right side
    3,892.35x = 8,317,500.75
  5. Step 5: Solve for x
    x = 8,317,500.75/3,892.35
  6. Step 6: Final answer
    x = 2,136.88

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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.