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Finding the Fourth Proportional to 4,966, 6,853.26 and 2,728.09

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Solution

The fourth proportional to 4,966, 6,853.26 and 2,728.09 is: 3,764.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966 : 6,853.26 = 2,728.09 : x
  2. Step 2: Convert to fraction form
    4,966/6,853.26 = 2,728.09/x
  3. Step 3: Cross multiply
    4,966x = 6,853.26 × 2,728.09
  4. Step 4: Simplify right side
    4,966x = 18,696,275.81
  5. Step 5: Solve for x
    x = 18,696,275.81/4,966
  6. Step 6: Final answer
    x = 3,764.86

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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.