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Finding the Fourth Proportional to 19,983, 27,576.54 and 11,151

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Solution

The fourth proportional to 19,983, 27,576.54 and 11,151 is: 15,388.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,983 : 27,576.54 = 11,151 : x
  2. Step 2: Convert to fraction form
    19,983/27,576.54 = 11,151/x
  3. Step 3: Cross multiply
    19,983x = 27,576.54 × 11,151
  4. Step 4: Simplify right side
    19,983x = 307,505,997.54
  5. Step 5: Solve for x
    x = 307,505,997.54/19,983
  6. Step 6: Final answer
    x = 15,388.38

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1.5x scale

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.