Home / 2,122.36-3,184.08-823.39

Finding the Fourth Proportional to 2,122.36, 3,184.08 and 823.39

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Solution

The fourth proportional to 2,122.36, 3,184.08 and 823.39 is: 1,235.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.36 : 3,184.08 = 823.39 : x
  2. Step 2: Convert to fraction form
    2,122.36/3,184.08 = 823.39/x
  3. Step 3: Cross multiply
    2,122.36x = 3,184.08 × 823.39
  4. Step 4: Simplify right side
    2,122.36x = 2,621,739.63
  5. Step 5: Solve for x
    x = 2,621,739.63/2,122.36
  6. Step 6: Final answer
    x = 1,235.29

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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.