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Finding the Fourth Proportional to 3,783.72, 5,228.73 and 2,837.87

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Solution

The fourth proportional to 3,783.72, 5,228.73 and 2,837.87 is: 3,921.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.72 : 5,228.73 = 2,837.87 : x
  2. Step 2: Convert to fraction form
    3,783.72/5,228.73 = 2,837.87/x
  3. Step 3: Cross multiply
    3,783.72x = 5,228.73 × 2,837.87
  4. Step 4: Simplify right side
    3,783.72x = 14,838,431.46
  5. Step 5: Solve for x
    x = 14,838,431.46/3,783.72
  6. Step 6: Final answer
    x = 3,921.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.