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Finding the Fourth Proportional to 3,367, 4,646.48 and 1,969.48

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Solution

The fourth proportional to 3,367, 4,646.48 and 1,969.48 is: 2,717.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367 : 4,646.48 = 1,969.48 : x
  2. Step 2: Convert to fraction form
    3,367/4,646.48 = 1,969.48/x
  3. Step 3: Cross multiply
    3,367x = 4,646.48 × 1,969.48
  4. Step 4: Simplify right side
    3,367x = 9,151,149.43
  5. Step 5: Solve for x
    x = 9,151,149.43/3,367
  6. Step 6: Final answer
    x = 2,717.89

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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.