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Finding the Fourth Proportional to 2,114.51, 3,169.94 and 816.89

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Solution

The fourth proportional to 2,114.51, 3,169.94 and 816.89 is: 1,224.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.51 : 3,169.94 = 816.89 : x
  2. Step 2: Convert to fraction form
    2,114.51/3,169.94 = 816.89/x
  3. Step 3: Cross multiply
    2,114.51x = 3,169.94 × 816.89
  4. Step 4: Simplify right side
    2,114.51x = 2,589,472.35
  5. Step 5: Solve for x
    x = 2,589,472.35/2,114.51
  6. Step 6: Final answer
    x = 1,224.62

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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.