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Finding the Fourth Proportional to 2,246.40, 3,394.80 and 2,116.80

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Solution

The fourth proportional to 2,246.40, 3,394.80 and 2,116.80 is: 3,198.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.40 : 3,394.80 = 2,116.80 : x
  2. Step 2: Convert to fraction form
    2,246.40/3,394.80 = 2,116.80/x
  3. Step 3: Cross multiply
    2,246.40x = 3,394.80 × 2,116.80
  4. Step 4: Simplify right side
    2,246.40x = 7,186,112.64
  5. Step 5: Solve for x
    x = 7,186,112.64/2,246.40
  6. Step 6: Final answer
    x = 3,198.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.