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Finding the Fourth Proportional to 1,383.84, 1,896.16 and 1,371.04

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Solution

The fourth proportional to 1,383.84, 1,896.16 and 1,371.04 is: 1,878.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.84 : 1,896.16 = 1,371.04 : x
  2. Step 2: Convert to fraction form
    1,383.84/1,896.16 = 1,371.04/x
  3. Step 3: Cross multiply
    1,383.84x = 1,896.16 × 1,371.04
  4. Step 4: Simplify right side
    1,383.84x = 2,599,711.21
  5. Step 5: Solve for x
    x = 2,599,711.21/1,383.84
  6. Step 6: Final answer
    x = 1,878.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.