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Finding the Fourth Proportional to 1,383.18, 1,908.42 and 989.52

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Solution

The fourth proportional to 1,383.18, 1,908.42 and 989.52 is: 1,365.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.18 : 1,908.42 = 989.52 : x
  2. Step 2: Convert to fraction form
    1,383.18/1,908.42 = 989.52/x
  3. Step 3: Cross multiply
    1,383.18x = 1,908.42 × 989.52
  4. Step 4: Simplify right side
    1,383.18x = 1,888,419.76
  5. Step 5: Solve for x
    x = 1,888,419.76/1,383.18
  6. Step 6: Final answer
    x = 1,365.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.