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Finding the Fourth Proportional to 13,201.57, 19,789.03 and 8,274.67

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Solution

The fourth proportional to 13,201.57, 19,789.03 and 8,274.67 is: 12,403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.57 : 19,789.03 = 8,274.67 : x
  2. Step 2: Convert to fraction form
    13,201.57/19,789.03 = 8,274.67/x
  3. Step 3: Cross multiply
    13,201.57x = 19,789.03 × 8,274.67
  4. Step 4: Simplify right side
    13,201.57x = 163,747,788.33
  5. Step 5: Solve for x
    x = 163,747,788.33/13,201.57
  6. Step 6: Final answer
    x = 12,403.66

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1.5x scale

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.