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Finding the Fourth Proportional to 4,976, 6,866.88 and 2,768

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Solution

The fourth proportional to 4,976, 6,866.88 and 2,768 is: 3,819.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976 : 6,866.88 = 2,768 : x
  2. Step 2: Convert to fraction form
    4,976/6,866.88 = 2,768/x
  3. Step 3: Cross multiply
    4,976x = 6,866.88 × 2,768
  4. Step 4: Simplify right side
    4,976x = 19,007,523.84
  5. Step 5: Solve for x
    x = 19,007,523.84/4,976
  6. Step 6: Final answer
    x = 3,819.84

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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.