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Finding the Fourth Proportional to 4,485.75, 6,728.90 and 1,365.86

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Solution

The fourth proportional to 4,485.75, 6,728.90 and 1,365.86 is: 2,048.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,485.75 : 6,728.90 = 1,365.86 : x
  2. Step 2: Convert to fraction form
    4,485.75/6,728.90 = 1,365.86/x
  3. Step 3: Cross multiply
    4,485.75x = 6,728.90 × 1,365.86
  4. Step 4: Simplify right side
    4,485.75x = 9,190,749.19
  5. Step 5: Solve for x
    x = 9,190,749.19/4,485.75
  6. Step 6: Final answer
    x = 2,048.87

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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.