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Finding the Fourth Proportional to 11,580.89, 17,361 and 4,183.70

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Solution

The fourth proportional to 11,580.89, 17,361 and 4,183.70 is: 6,271.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.89 : 17,361 = 4,183.70 : x
  2. Step 2: Convert to fraction form
    11,580.89/17,361 = 4,183.70/x
  3. Step 3: Cross multiply
    11,580.89x = 17,361 × 4,183.70
  4. Step 4: Simplify right side
    11,580.89x = 72,633,128.90
  5. Step 5: Solve for x
    x = 72,633,128.90/11,580.89
  6. Step 6: Final answer
    x = 6,271.81

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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.