Home / 2,745.20-3,788.64-1,566.36

Finding the Fourth Proportional to 2,745.20, 3,788.64 and 1,566.36

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Solution

The fourth proportional to 2,745.20, 3,788.64 and 1,566.36 is: 2,161.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.20 : 3,788.64 = 1,566.36 : x
  2. Step 2: Convert to fraction form
    2,745.20/3,788.64 = 1,566.36/x
  3. Step 3: Cross multiply
    2,745.20x = 3,788.64 × 1,566.36
  4. Step 4: Simplify right side
    2,745.20x = 5,934,374.15
  5. Step 5: Solve for x
    x = 5,934,374.15/2,745.20
  6. Step 6: Final answer
    x = 2,161.73

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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.