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Finding the Fourth Proportional to 2,133, 3,198.60 and 651.74

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Solution

The fourth proportional to 2,133, 3,198.60 and 651.74 is: 977.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133 : 3,198.60 = 651.74 : x
  2. Step 2: Convert to fraction form
    2,133/3,198.60 = 651.74/x
  3. Step 3: Cross multiply
    2,133x = 3,198.60 × 651.74
  4. Step 4: Simplify right side
    2,133x = 2,084,639.57
  5. Step 5: Solve for x
    x = 2,084,639.57/2,133
  6. Step 6: Final answer
    x = 977.33

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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.