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Finding the Fourth Proportional to 20,774, 28,668.26 and 11,342.68

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Solution

The fourth proportional to 20,774, 28,668.26 and 11,342.68 is: 15,652.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,774 : 28,668.26 = 11,342.68 : x
  2. Step 2: Convert to fraction form
    20,774/28,668.26 = 11,342.68/x
  3. Step 3: Cross multiply
    20,774x = 28,668.26 × 11,342.68
  4. Step 4: Simplify right side
    20,774x = 325,174,899.34
  5. Step 5: Solve for x
    x = 325,174,899.34/20,774
  6. Step 6: Final answer
    x = 15,652.97

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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.