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Finding the Fourth Proportional to 12,715, 19,076.98 and 5,694.44

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Solution

The fourth proportional to 12,715, 19,076.98 and 5,694.44 is: 8,543.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,715 : 19,076.98 = 5,694.44 : x
  2. Step 2: Convert to fraction form
    12,715/19,076.98 = 5,694.44/x
  3. Step 3: Cross multiply
    12,715x = 19,076.98 × 5,694.44
  4. Step 4: Simplify right side
    12,715x = 108,632,717.99
  5. Step 5: Solve for x
    x = 108,632,717.99/12,715
  6. Step 6: Final answer
    x = 8,543.67

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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.