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Finding the Fourth Proportional to 5,174.51, 7,140.89 and 3,183.89

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Solution

The fourth proportional to 5,174.51, 7,140.89 and 3,183.89 is: 4,393.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.51 : 7,140.89 = 3,183.89 : x
  2. Step 2: Convert to fraction form
    5,174.51/7,140.89 = 3,183.89/x
  3. Step 3: Cross multiply
    5,174.51x = 7,140.89 × 3,183.89
  4. Step 4: Simplify right side
    5,174.51x = 22,735,780.52
  5. Step 5: Solve for x
    x = 22,735,780.52/5,174.51
  6. Step 6: Final answer
    x = 4,393.81

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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.