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Finding the Fourth Proportional to 2,443.03, 3,662.37 and 981.19

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Solution

The fourth proportional to 2,443.03, 3,662.37 and 981.19 is: 1,470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.03 : 3,662.37 = 981.19 : x
  2. Step 2: Convert to fraction form
    2,443.03/3,662.37 = 981.19/x
  3. Step 3: Cross multiply
    2,443.03x = 3,662.37 × 981.19
  4. Step 4: Simplify right side
    2,443.03x = 3,593,480.82
  5. Step 5: Solve for x
    x = 3,593,480.82/2,443.03
  6. Step 6: Final answer
    x = 1,470.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.