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Finding the Fourth Proportional to 19,978.88, 27,572.54 and 11,027.24

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Solution

The fourth proportional to 19,978.88, 27,572.54 and 11,027.24 is: 15,218.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.88 : 27,572.54 = 11,027.24 : x
  2. Step 2: Convert to fraction form
    19,978.88/27,572.54 = 11,027.24/x
  3. Step 3: Cross multiply
    19,978.88x = 27,572.54 × 11,027.24
  4. Step 4: Simplify right side
    19,978.88x = 304,049,015.99
  5. Step 5: Solve for x
    x = 304,049,015.99/19,978.88
  6. Step 6: Final answer
    x = 15,218.52

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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.