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Finding the Fourth Proportional to 21,900, 30,222.12 and 11,964

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Solution

The fourth proportional to 21,900, 30,222.12 and 11,964 is: 16,510.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,900 : 30,222.12 = 11,964 : x
  2. Step 2: Convert to fraction form
    21,900/30,222.12 = 11,964/x
  3. Step 3: Cross multiply
    21,900x = 30,222.12 × 11,964
  4. Step 4: Simplify right side
    21,900x = 361,577,443.68
  5. Step 5: Solve for x
    x = 361,577,443.68/21,900
  6. Step 6: Final answer
    x = 16,510.39

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1.5x scale

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.