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Finding the Fourth Proportional to 3,266.22, 4,506.93 and 1,921.89

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Solution

The fourth proportional to 3,266.22, 4,506.93 and 1,921.89 is: 2,651.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.22 : 4,506.93 = 1,921.89 : x
  2. Step 2: Convert to fraction form
    3,266.22/4,506.93 = 1,921.89/x
  3. Step 3: Cross multiply
    3,266.22x = 4,506.93 × 1,921.89
  4. Step 4: Simplify right side
    3,266.22x = 8,661,823.70
  5. Step 5: Solve for x
    x = 8,661,823.70/3,266.22
  6. Step 6: Final answer
    x = 2,651.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.