Home / 2,103.44-3,155.16-947.84

Finding the Fourth Proportional to 2,103.44, 3,155.16 and 947.84

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Solution

The fourth proportional to 2,103.44, 3,155.16 and 947.84 is: 1,421.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.44 : 3,155.16 = 947.84 : x
  2. Step 2: Convert to fraction form
    2,103.44/3,155.16 = 947.84/x
  3. Step 3: Cross multiply
    2,103.44x = 3,155.16 × 947.84
  4. Step 4: Simplify right side
    2,103.44x = 2,990,571.08
  5. Step 5: Solve for x
    x = 2,990,571.08/2,103.44
  6. Step 6: Final answer
    x = 1,421.76

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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.