Home / 1,977.94-2,965.83-1,157.77

Finding the Fourth Proportional to 1,977.94, 2,965.83 and 1,157.77

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Solution

The fourth proportional to 1,977.94, 2,965.83 and 1,157.77 is: 1,736.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.94 : 2,965.83 = 1,157.77 : x
  2. Step 2: Convert to fraction form
    1,977.94/2,965.83 = 1,157.77/x
  3. Step 3: Cross multiply
    1,977.94x = 2,965.83 × 1,157.77
  4. Step 4: Simplify right side
    1,977.94x = 3,433,749.00
  5. Step 5: Solve for x
    x = 3,433,749.00/1,977.94
  6. Step 6: Final answer
    x = 1,736.02

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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.