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Finding the Fourth Proportional to 20,216, 27,897 and 11,141.06

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Solution

The fourth proportional to 20,216, 27,897 and 11,141.06 is: 15,374.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,216 : 27,897 = 11,141.06 : x
  2. Step 2: Convert to fraction form
    20,216/27,897 = 11,141.06/x
  3. Step 3: Cross multiply
    20,216x = 27,897 × 11,141.06
  4. Step 4: Simplify right side
    20,216x = 310,802,150.82
  5. Step 5: Solve for x
    x = 310,802,150.82/20,216
  6. Step 6: Final answer
    x = 15,374.07

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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.