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Finding the Fourth Proportional to 4,936.89, 7,406.54 and 3,478.89

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Solution

The fourth proportional to 4,936.89, 7,406.54 and 3,478.89 is: 5,219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936.89 : 7,406.54 = 3,478.89 : x
  2. Step 2: Convert to fraction form
    4,936.89/7,406.54 = 3,478.89/x
  3. Step 3: Cross multiply
    4,936.89x = 7,406.54 × 3,478.89
  4. Step 4: Simplify right side
    4,936.89x = 25,766,546.64
  5. Step 5: Solve for x
    x = 25,766,546.64/4,936.89
  6. Step 6: Final answer
    x = 5,219.19

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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.