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Finding the Fourth Proportional to 21,243.36, 31,874 and 11,380

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Solution

The fourth proportional to 21,243.36, 31,874 and 11,380 is: 17,074.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,243.36 : 31,874 = 11,380 : x
  2. Step 2: Convert to fraction form
    21,243.36/31,874 = 11,380/x
  3. Step 3: Cross multiply
    21,243.36x = 31,874 × 11,380
  4. Step 4: Simplify right side
    21,243.36x = 362,726,120
  5. Step 5: Solve for x
    x = 362,726,120/21,243.36
  6. Step 6: Final answer
    x = 17,074.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.