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Finding the Fourth Proportional to 2,801.81, 4,202.91 and 855.38

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Solution

The fourth proportional to 2,801.81, 4,202.91 and 855.38 is: 1,283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.81 : 4,202.91 = 855.38 : x
  2. Step 2: Convert to fraction form
    2,801.81/4,202.91 = 855.38/x
  3. Step 3: Cross multiply
    2,801.81x = 4,202.91 × 855.38
  4. Step 4: Simplify right side
    2,801.81x = 3,595,085.16
  5. Step 5: Solve for x
    x = 3,595,085.16/2,801.81
  6. Step 6: Final answer
    x = 1,283.13

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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.