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Finding the Fourth Proportional to 20,112.78, 27,756.08 and 11,160

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Solution

The fourth proportional to 20,112.78, 27,756.08 and 11,160 is: 15,401.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,112.78 : 27,756.08 = 11,160 : x
  2. Step 2: Convert to fraction form
    20,112.78/27,756.08 = 11,160/x
  3. Step 3: Cross multiply
    20,112.78x = 27,756.08 × 11,160
  4. Step 4: Simplify right side
    20,112.78x = 309,757,852.80
  5. Step 5: Solve for x
    x = 309,757,852.80/20,112.78
  6. Step 6: Final answer
    x = 15,401.05

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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.