Home / 3,827.25-5,740.83-1,981.98

Finding the Fourth Proportional to 3,827.25, 5,740.83 and 1,981.98

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Solution

The fourth proportional to 3,827.25, 5,740.83 and 1,981.98 is: 2,972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.25 : 5,740.83 = 1,981.98 : x
  2. Step 2: Convert to fraction form
    3,827.25/5,740.83 = 1,981.98/x
  3. Step 3: Cross multiply
    3,827.25x = 5,740.83 × 1,981.98
  4. Step 4: Simplify right side
    3,827.25x = 11,378,210.24
  5. Step 5: Solve for x
    x = 11,378,210.24/3,827.25
  6. Step 6: Final answer
    x = 2,972.95

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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.