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Finding the Fourth Proportional to 4,907.73, 6,769.80 and 3,138.69

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Solution

The fourth proportional to 4,907.73, 6,769.80 and 3,138.69 is: 4,329.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.73 : 6,769.80 = 3,138.69 : x
  2. Step 2: Convert to fraction form
    4,907.73/6,769.80 = 3,138.69/x
  3. Step 3: Cross multiply
    4,907.73x = 6,769.80 × 3,138.69
  4. Step 4: Simplify right side
    4,907.73x = 21,248,303.56
  5. Step 5: Solve for x
    x = 21,248,303.56/4,907.73
  6. Step 6: Final answer
    x = 4,329.56

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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.