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Finding the Fourth Proportional to 20,080.99, 27,712 and 11,128.65

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Solution

The fourth proportional to 20,080.99, 27,712 and 11,128.65 is: 15,357.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,080.99 : 27,712 = 11,128.65 : x
  2. Step 2: Convert to fraction form
    20,080.99/27,712 = 11,128.65/x
  3. Step 3: Cross multiply
    20,080.99x = 27,712 × 11,128.65
  4. Step 4: Simplify right side
    20,080.99x = 308,397,148.80
  5. Step 5: Solve for x
    x = 308,397,148.80/20,080.99
  6. Step 6: Final answer
    x = 15,357.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.