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Finding the Fourth Proportional to 27,121.20, 40,668.84 and 13,254

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Solution

The fourth proportional to 27,121.20, 40,668.84 and 13,254 is: 19,874.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,121.20 : 40,668.84 = 13,254 : x
  2. Step 2: Convert to fraction form
    27,121.20/40,668.84 = 13,254/x
  3. Step 3: Cross multiply
    27,121.20x = 40,668.84 × 13,254
  4. Step 4: Simplify right side
    27,121.20x = 539,024,805.36
  5. Step 5: Solve for x
    x = 539,024,805.36/27,121.20
  6. Step 6: Final answer
    x = 19,874.67

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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.