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Finding the Fourth Proportional to 2,745.87, 3,790.01 and 1,697.32

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Solution

The fourth proportional to 2,745.87, 3,790.01 and 1,697.32 is: 2,342.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.87 : 3,790.01 = 1,697.32 : x
  2. Step 2: Convert to fraction form
    2,745.87/3,790.01 = 1,697.32/x
  3. Step 3: Cross multiply
    2,745.87x = 3,790.01 × 1,697.32
  4. Step 4: Simplify right side
    2,745.87x = 6,432,859.77
  5. Step 5: Solve for x
    x = 6,432,859.77/2,745.87
  6. Step 6: Final answer
    x = 2,342.74

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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.