Home / 2,114.08-3,170.80-816.44

Finding the Fourth Proportional to 2,114.08, 3,170.80 and 816.44

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Solution

The fourth proportional to 2,114.08, 3,170.80 and 816.44 is: 1,224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.08 : 3,170.80 = 816.44 : x
  2. Step 2: Convert to fraction form
    2,114.08/3,170.80 = 816.44/x
  3. Step 3: Cross multiply
    2,114.08x = 3,170.80 × 816.44
  4. Step 4: Simplify right side
    2,114.08x = 2,588,767.95
  5. Step 5: Solve for x
    x = 2,588,767.95/2,114.08
  6. Step 6: Final answer
    x = 1,224.54

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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.