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Finding the Fourth Proportional to 21,921, 30,251.46 and 11,985

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Solution

The fourth proportional to 21,921, 30,251.46 and 11,985 is: 16,539.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,921 : 30,251.46 = 11,985 : x
  2. Step 2: Convert to fraction form
    21,921/30,251.46 = 11,985/x
  3. Step 3: Cross multiply
    21,921x = 30,251.46 × 11,985
  4. Step 4: Simplify right side
    21,921x = 362,563,748.10
  5. Step 5: Solve for x
    x = 362,563,748.10/21,921
  6. Step 6: Final answer
    x = 16,539.56

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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.