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Finding the Fourth Proportional to 5,617.48, 7,749.64 and 3,378.64

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Solution

The fourth proportional to 5,617.48, 7,749.64 and 3,378.64 is: 4,661.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.48 : 7,749.64 = 3,378.64 : x
  2. Step 2: Convert to fraction form
    5,617.48/7,749.64 = 3,378.64/x
  3. Step 3: Cross multiply
    5,617.48x = 7,749.64 × 3,378.64
  4. Step 4: Simplify right side
    5,617.48x = 26,183,243.69
  5. Step 5: Solve for x
    x = 26,183,243.69/5,617.48
  6. Step 6: Final answer
    x = 4,661.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.