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Finding the Fourth Proportional to 3,840.48, 5,766.48 and 3,771.36

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Solution

The fourth proportional to 3,840.48, 5,766.48 and 3,771.36 is: 5,662.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.48 : 5,766.48 = 3,771.36 : x
  2. Step 2: Convert to fraction form
    3,840.48/5,766.48 = 3,771.36/x
  3. Step 3: Cross multiply
    3,840.48x = 5,766.48 × 3,771.36
  4. Step 4: Simplify right side
    3,840.48x = 21,747,472.01
  5. Step 5: Solve for x
    x = 21,747,472.01/3,840.48
  6. Step 6: Final answer
    x = 5,662.70

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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.