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Finding the Fourth Proportional to 20,116.69, 27,762.69 and 11,164.03

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Solution

The fourth proportional to 20,116.69, 27,762.69 and 11,164.03 is: 15,407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,116.69 : 27,762.69 = 11,164.03 : x
  2. Step 2: Convert to fraction form
    20,116.69/27,762.69 = 11,164.03/x
  3. Step 3: Cross multiply
    20,116.69x = 27,762.69 × 11,164.03
  4. Step 4: Simplify right side
    20,116.69x = 309,943,504.04
  5. Step 5: Solve for x
    x = 309,943,504.04/20,116.69
  6. Step 6: Final answer
    x = 15,407.28

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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.