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Finding the Fourth Proportional to 1,883.03, 2,822.78 and 1,266.93

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Solution

The fourth proportional to 1,883.03, 2,822.78 and 1,266.93 is: 1,899.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.03 : 2,822.78 = 1,266.93 : x
  2. Step 2: Convert to fraction form
    1,883.03/2,822.78 = 1,266.93/x
  3. Step 3: Cross multiply
    1,883.03x = 2,822.78 × 1,266.93
  4. Step 4: Simplify right side
    1,883.03x = 3,576,258.33
  5. Step 5: Solve for x
    x = 3,576,258.33/1,883.03
  6. Step 6: Final answer
    x = 1,899.21

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Why These Related Problems?

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