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Finding the Fourth Proportional to 3,370, 4,651.08 and 3,222.40

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Solution

The fourth proportional to 3,370, 4,651.08 and 3,222.40 is: 4,447.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370 : 4,651.08 = 3,222.40 : x
  2. Step 2: Convert to fraction form
    3,370/4,651.08 = 3,222.40/x
  3. Step 3: Cross multiply
    3,370x = 4,651.08 × 3,222.40
  4. Step 4: Simplify right side
    3,370x = 14,987,640.19
  5. Step 5: Solve for x
    x = 14,987,640.19/3,370
  6. Step 6: Final answer
    x = 4,447.37

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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.