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Finding the Fourth Proportional to 12,583.67, 18,859.09 and 5,180.67

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Solution

The fourth proportional to 12,583.67, 18,859.09 and 5,180.67 is: 7,764.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,583.67 : 18,859.09 = 5,180.67 : x
  2. Step 2: Convert to fraction form
    12,583.67/18,859.09 = 5,180.67/x
  3. Step 3: Cross multiply
    12,583.67x = 18,859.09 × 5,180.67
  4. Step 4: Simplify right side
    12,583.67x = 97,702,721.79
  5. Step 5: Solve for x
    x = 97,702,721.79/12,583.67
  6. Step 6: Final answer
    x = 7,764.25

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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.