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Finding the Fourth Proportional to 2,116, 3,173.04 and 816.52

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Solution

The fourth proportional to 2,116, 3,173.04 and 816.52 is: 1,224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116 : 3,173.04 = 816.52 : x
  2. Step 2: Convert to fraction form
    2,116/3,173.04 = 816.52/x
  3. Step 3: Cross multiply
    2,116x = 3,173.04 × 816.52
  4. Step 4: Simplify right side
    2,116x = 2,590,850.62
  5. Step 5: Solve for x
    x = 2,590,850.62/2,116
  6. Step 6: Final answer
    x = 1,224.41

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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.