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Finding the Fourth Proportional to 3,754.66, 5,623.79 and 1,902.60

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Solution

The fourth proportional to 3,754.66, 5,623.79 and 1,902.60 is: 2,849.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.66 : 5,623.79 = 1,902.60 : x
  2. Step 2: Convert to fraction form
    3,754.66/5,623.79 = 1,902.60/x
  3. Step 3: Cross multiply
    3,754.66x = 5,623.79 × 1,902.60
  4. Step 4: Simplify right side
    3,754.66x = 10,699,822.85
  5. Step 5: Solve for x
    x = 10,699,822.85/3,754.66
  6. Step 6: Final answer
    x = 2,849.74

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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.