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Finding the Fourth Proportional to 21,966, 30,313.84 and 12,030

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Solution

The fourth proportional to 21,966, 30,313.84 and 12,030 is: 16,601.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,966 : 30,313.84 = 12,030 : x
  2. Step 2: Convert to fraction form
    21,966/30,313.84 = 12,030/x
  3. Step 3: Cross multiply
    21,966x = 30,313.84 × 12,030
  4. Step 4: Simplify right side
    21,966x = 364,675,495.20
  5. Step 5: Solve for x
    x = 364,675,495.20/21,966
  6. Step 6: Final answer
    x = 16,601.82

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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.