Home / 3,827-5,737.08-2,181.18

Finding the Fourth Proportional to 3,827, 5,737.08 and 2,181.18

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Solution

The fourth proportional to 3,827, 5,737.08 and 2,181.18 is: 3,269.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827 : 5,737.08 = 2,181.18 : x
  2. Step 2: Convert to fraction form
    3,827/5,737.08 = 2,181.18/x
  3. Step 3: Cross multiply
    3,827x = 5,737.08 × 2,181.18
  4. Step 4: Simplify right side
    3,827x = 12,513,604.15
  5. Step 5: Solve for x
    x = 12,513,604.15/3,827
  6. Step 6: Final answer
    x = 3,269.82

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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.