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Finding the Fourth Proportional to 4,940.78, 7,412.39 and 4,535.78

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Solution

The fourth proportional to 4,940.78, 7,412.39 and 4,535.78 is: 6,804.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.78 : 7,412.39 = 4,535.78 : x
  2. Step 2: Convert to fraction form
    4,940.78/7,412.39 = 4,535.78/x
  3. Step 3: Cross multiply
    4,940.78x = 7,412.39 × 4,535.78
  4. Step 4: Simplify right side
    4,940.78x = 33,620,947.64
  5. Step 5: Solve for x
    x = 33,620,947.64/4,940.78
  6. Step 6: Final answer
    x = 6,804.79

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1.5x scale

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.