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Finding the Fourth Proportional to 5,768.50, 8,644.40 and 3,133.78

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Solution

The fourth proportional to 5,768.50, 8,644.40 and 3,133.78 is: 4,696.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.50 : 8,644.40 = 3,133.78 : x
  2. Step 2: Convert to fraction form
    5,768.50/8,644.40 = 3,133.78/x
  3. Step 3: Cross multiply
    5,768.50x = 8,644.40 × 3,133.78
  4. Step 4: Simplify right side
    5,768.50x = 27,089,647.83
  5. Step 5: Solve for x
    x = 27,089,647.83/5,768.50
  6. Step 6: Final answer
    x = 4,696.13

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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.