Home / 2,846.24-3,927.84-1,604

Finding the Fourth Proportional to 2,846.24, 3,927.84 and 1,604

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Solution

The fourth proportional to 2,846.24, 3,927.84 and 1,604 is: 2,213.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.24 : 3,927.84 = 1,604 : x
  2. Step 2: Convert to fraction form
    2,846.24/3,927.84 = 1,604/x
  3. Step 3: Cross multiply
    2,846.24x = 3,927.84 × 1,604
  4. Step 4: Simplify right side
    2,846.24x = 6,300,255.36
  5. Step 5: Solve for x
    x = 6,300,255.36/2,846.24
  6. Step 6: Final answer
    x = 2,213.54

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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.