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Finding the Fourth Proportional to 2,813.75, 4,221.97 and 1,352.51

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Solution

The fourth proportional to 2,813.75, 4,221.97 and 1,352.51 is: 2,029.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.75 : 4,221.97 = 1,352.51 : x
  2. Step 2: Convert to fraction form
    2,813.75/4,221.97 = 1,352.51/x
  3. Step 3: Cross multiply
    2,813.75x = 4,221.97 × 1,352.51
  4. Step 4: Simplify right side
    2,813.75x = 5,710,232.15
  5. Step 5: Solve for x
    x = 5,710,232.15/2,813.75
  6. Step 6: Final answer
    x = 2,029.41

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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.