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Finding the Fourth Proportional to 3,827.94, 5,776.38 and 3,690.64

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Solution

The fourth proportional to 3,827.94, 5,776.38 and 3,690.64 is: 5,569.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.94 : 5,776.38 = 3,690.64 : x
  2. Step 2: Convert to fraction form
    3,827.94/5,776.38 = 3,690.64/x
  3. Step 3: Cross multiply
    3,827.94x = 5,776.38 × 3,690.64
  4. Step 4: Simplify right side
    3,827.94x = 21,318,539.08
  5. Step 5: Solve for x
    x = 21,318,539.08/3,827.94
  6. Step 6: Final answer
    x = 5,569.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.