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Finding the Fourth Proportional to 6,268.40, 9,391.80 and 2,974.40

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Solution

The fourth proportional to 6,268.40, 9,391.80 and 2,974.40 is: 4,456.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.40 : 9,391.80 = 2,974.40 : x
  2. Step 2: Convert to fraction form
    6,268.40/9,391.80 = 2,974.40/x
  3. Step 3: Cross multiply
    6,268.40x = 9,391.80 × 2,974.40
  4. Step 4: Simplify right side
    6,268.40x = 27,934,969.92
  5. Step 5: Solve for x
    x = 27,934,969.92/6,268.40
  6. Step 6: Final answer
    x = 4,456.48

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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.