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Finding the Fourth Proportional to 2,745.84, 3,789.12 and 1,503.84

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Solution

The fourth proportional to 2,745.84, 3,789.12 and 1,503.84 is: 2,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.84 : 3,789.12 = 1,503.84 : x
  2. Step 2: Convert to fraction form
    2,745.84/3,789.12 = 1,503.84/x
  3. Step 3: Cross multiply
    2,745.84x = 3,789.12 × 1,503.84
  4. Step 4: Simplify right side
    2,745.84x = 5,698,230.22
  5. Step 5: Solve for x
    x = 5,698,230.22/2,745.84
  6. Step 6: Final answer
    x = 2,075.22

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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.