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Finding the Fourth Proportional to 1,989.87, 2,745.90 and 1,105.64

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Solution

The fourth proportional to 1,989.87, 2,745.90 and 1,105.64 is: 1,525.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.87 : 2,745.90 = 1,105.64 : x
  2. Step 2: Convert to fraction form
    1,989.87/2,745.90 = 1,105.64/x
  3. Step 3: Cross multiply
    1,989.87x = 2,745.90 × 1,105.64
  4. Step 4: Simplify right side
    1,989.87x = 3,035,983.74
  5. Step 5: Solve for x
    x = 3,035,983.74/1,989.87
  6. Step 6: Final answer
    x = 1,525.72

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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.