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Finding the Fourth Proportional to 19,978.85, 27,571.01 and 11,026.16

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Solution

The fourth proportional to 19,978.85, 27,571.01 and 11,026.16 is: 15,216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.85 : 27,571.01 = 11,026.16 : x
  2. Step 2: Convert to fraction form
    19,978.85/27,571.01 = 11,026.16/x
  3. Step 3: Cross multiply
    19,978.85x = 27,571.01 × 11,026.16
  4. Step 4: Simplify right side
    19,978.85x = 304,002,425.35
  5. Step 5: Solve for x
    x = 304,002,425.35/19,978.85
  6. Step 6: Final answer
    x = 15,216.21

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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.