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Finding the Fourth Proportional to 2,826.94, 4,238.97 and 977.44

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Solution

The fourth proportional to 2,826.94, 4,238.97 and 977.44 is: 1,465.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.94 : 4,238.97 = 977.44 : x
  2. Step 2: Convert to fraction form
    2,826.94/4,238.97 = 977.44/x
  3. Step 3: Cross multiply
    2,826.94x = 4,238.97 × 977.44
  4. Step 4: Simplify right side
    2,826.94x = 4,143,338.84
  5. Step 5: Solve for x
    x = 4,143,338.84/2,826.94
  6. Step 6: Final answer
    x = 1,465.66

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1.5x scale

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.