Home / 2,133.15-3,199.23-816.43

Finding the Fourth Proportional to 2,133.15, 3,199.23 and 816.43

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Solution

The fourth proportional to 2,133.15, 3,199.23 and 816.43 is: 1,224.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.15 : 3,199.23 = 816.43 : x
  2. Step 2: Convert to fraction form
    2,133.15/3,199.23 = 816.43/x
  3. Step 3: Cross multiply
    2,133.15x = 3,199.23 × 816.43
  4. Step 4: Simplify right side
    2,133.15x = 2,611,947.35
  5. Step 5: Solve for x
    x = 2,611,947.35/2,133.15
  6. Step 6: Final answer
    x = 1,224.46

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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.