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Finding the Fourth Proportional to 21,918, 30,247.32 and 11,982

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Solution

The fourth proportional to 21,918, 30,247.32 and 11,982 is: 16,535.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,918 : 30,247.32 = 11,982 : x
  2. Step 2: Convert to fraction form
    21,918/30,247.32 = 11,982/x
  3. Step 3: Cross multiply
    21,918x = 30,247.32 × 11,982
  4. Step 4: Simplify right side
    21,918x = 362,423,388.24
  5. Step 5: Solve for x
    x = 362,423,388.24/21,918
  6. Step 6: Final answer
    x = 16,535.42

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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.