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Finding the Fourth Proportional to 2,003.64, 2,765.07 and 1,119.45

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Solution

The fourth proportional to 2,003.64, 2,765.07 and 1,119.45 is: 1,544.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.64 : 2,765.07 = 1,119.45 : x
  2. Step 2: Convert to fraction form
    2,003.64/2,765.07 = 1,119.45/x
  3. Step 3: Cross multiply
    2,003.64x = 2,765.07 × 1,119.45
  4. Step 4: Simplify right side
    2,003.64x = 3,095,338.19
  5. Step 5: Solve for x
    x = 3,095,338.19/2,003.64
  6. Step 6: Final answer
    x = 1,544.86

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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.