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Finding the Fourth Proportional to 2,018.07, 2,784.90 and 1,133.97

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Solution

The fourth proportional to 2,018.07, 2,784.90 and 1,133.97 is: 1,564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.07 : 2,784.90 = 1,133.97 : x
  2. Step 2: Convert to fraction form
    2,018.07/2,784.90 = 1,133.97/x
  3. Step 3: Cross multiply
    2,018.07x = 2,784.90 × 1,133.97
  4. Step 4: Simplify right side
    2,018.07x = 3,157,993.05
  5. Step 5: Solve for x
    x = 3,157,993.05/2,018.07
  6. Step 6: Final answer
    x = 1,564.86

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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.