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Finding the Fourth Proportional to 3,817.73, 5,727.47 and 1,477.76

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Solution

The fourth proportional to 3,817.73, 5,727.47 and 1,477.76 is: 2,216.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.73 : 5,727.47 = 1,477.76 : x
  2. Step 2: Convert to fraction form
    3,817.73/5,727.47 = 1,477.76/x
  3. Step 3: Cross multiply
    3,817.73x = 5,727.47 × 1,477.76
  4. Step 4: Simplify right side
    3,817.73x = 8,463,790.04
  5. Step 5: Solve for x
    x = 8,463,790.04/3,817.73
  6. Step 6: Final answer
    x = 2,216.97

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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.