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Finding the Fourth Proportional to 21,916, 30,244.32 and 11,980

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Solution

The fourth proportional to 21,916, 30,244.32 and 11,980 is: 16,532.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,916 : 30,244.32 = 11,980 : x
  2. Step 2: Convert to fraction form
    21,916/30,244.32 = 11,980/x
  3. Step 3: Cross multiply
    21,916x = 30,244.32 × 11,980
  4. Step 4: Simplify right side
    21,916x = 362,326,953.60
  5. Step 5: Solve for x
    x = 362,326,953.60/21,916
  6. Step 6: Final answer
    x = 16,532.53

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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.