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Finding the Fourth Proportional to 2,999, 4,138.52 and 1,672.68

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Solution

The fourth proportional to 2,999, 4,138.52 and 1,672.68 is: 2,308.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999 : 4,138.52 = 1,672.68 : x
  2. Step 2: Convert to fraction form
    2,999/4,138.52 = 1,672.68/x
  3. Step 3: Cross multiply
    2,999x = 4,138.52 × 1,672.68
  4. Step 4: Simplify right side
    2,999x = 6,922,419.63
  5. Step 5: Solve for x
    x = 6,922,419.63/2,999
  6. Step 6: Final answer
    x = 2,308.24

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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.