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Finding the Fourth Proportional to 2,116.09, 3,174.43 and 883.22

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Solution

The fourth proportional to 2,116.09, 3,174.43 and 883.22 is: 1,324.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.09 : 3,174.43 = 883.22 : x
  2. Step 2: Convert to fraction form
    2,116.09/3,174.43 = 883.22/x
  3. Step 3: Cross multiply
    2,116.09x = 3,174.43 × 883.22
  4. Step 4: Simplify right side
    2,116.09x = 2,803,701.98
  5. Step 5: Solve for x
    x = 2,803,701.98/2,116.09
  6. Step 6: Final answer
    x = 1,324.95

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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.