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Finding the Fourth Proportional to 19,922, 27,492.36 and 11,090

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Solution

The fourth proportional to 19,922, 27,492.36 and 11,090 is: 15,304.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,922 : 27,492.36 = 11,090 : x
  2. Step 2: Convert to fraction form
    19,922/27,492.36 = 11,090/x
  3. Step 3: Cross multiply
    19,922x = 27,492.36 × 11,090
  4. Step 4: Simplify right side
    19,922x = 304,890,272.40
  5. Step 5: Solve for x
    x = 304,890,272.40/19,922
  6. Step 6: Final answer
    x = 15,304.20

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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.