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Finding the Fourth Proportional to 2,133.09, 3,197.44 and 816.53

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Solution

The fourth proportional to 2,133.09, 3,197.44 and 816.53 is: 1,223.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.09 : 3,197.44 = 816.53 : x
  2. Step 2: Convert to fraction form
    2,133.09/3,197.44 = 816.53/x
  3. Step 3: Cross multiply
    2,133.09x = 3,197.44 × 816.53
  4. Step 4: Simplify right side
    2,133.09x = 2,610,822.22
  5. Step 5: Solve for x
    x = 2,610,822.22/2,133.09
  6. Step 6: Final answer
    x = 1,223.96

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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.