Home / 1,216.15-1,822.10-850.23

Finding the Fourth Proportional to 1,216.15, 1,822.10 and 850.23

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Solution

The fourth proportional to 1,216.15, 1,822.10 and 850.23 is: 1,273.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.15 : 1,822.10 = 850.23 : x
  2. Step 2: Convert to fraction form
    1,216.15/1,822.10 = 850.23/x
  3. Step 3: Cross multiply
    1,216.15x = 1,822.10 × 850.23
  4. Step 4: Simplify right side
    1,216.15x = 1,549,199.83
  5. Step 5: Solve for x
    x = 1,549,199.83/1,216.15
  6. Step 6: Final answer
    x = 1,273.86

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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.