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Finding the Fourth Proportional to 2,823, 3,896.04 and 1,581

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Solution

The fourth proportional to 2,823, 3,896.04 and 1,581 is: 2,181.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823 : 3,896.04 = 1,581 : x
  2. Step 2: Convert to fraction form
    2,823/3,896.04 = 1,581/x
  3. Step 3: Cross multiply
    2,823x = 3,896.04 × 1,581
  4. Step 4: Simplify right side
    2,823x = 6,159,639.24
  5. Step 5: Solve for x
    x = 6,159,639.24/2,823
  6. Step 6: Final answer
    x = 2,181.95

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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.