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Finding the Fourth Proportional to 4,268, 6,394.72 and 3,029.28

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Solution

The fourth proportional to 4,268, 6,394.72 and 3,029.28 is: 4,538.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,268 : 6,394.72 = 3,029.28 : x
  2. Step 2: Convert to fraction form
    4,268/6,394.72 = 3,029.28/x
  3. Step 3: Cross multiply
    4,268x = 6,394.72 × 3,029.28
  4. Step 4: Simplify right side
    4,268x = 19,371,397.40
  5. Step 5: Solve for x
    x = 19,371,397.40/4,268
  6. Step 6: Final answer
    x = 4,538.75

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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.