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Finding the Fourth Proportional to 1,383.97, 1,908.04 and 1,118.11

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Solution

The fourth proportional to 1,383.97, 1,908.04 and 1,118.11 is: 1,541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.97 : 1,908.04 = 1,118.11 : x
  2. Step 2: Convert to fraction form
    1,383.97/1,908.04 = 1,118.11/x
  3. Step 3: Cross multiply
    1,383.97x = 1,908.04 × 1,118.11
  4. Step 4: Simplify right side
    1,383.97x = 2,133,402.39
  5. Step 5: Solve for x
    x = 2,133,402.39/1,383.97
  6. Step 6: Final answer
    x = 1,541.51

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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.