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Finding the Fourth Proportional to 21,309.30, 31,960.96 and 11,309.65

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Solution

The fourth proportional to 21,309.30, 31,960.96 and 11,309.65 is: 16,962.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,309.30 : 31,960.96 = 11,309.65 : x
  2. Step 2: Convert to fraction form
    21,309.30/31,960.96 = 11,309.65/x
  3. Step 3: Cross multiply
    21,309.30x = 31,960.96 × 11,309.65
  4. Step 4: Simplify right side
    21,309.30x = 361,467,163.09
  5. Step 5: Solve for x
    x = 361,467,163.09/21,309.30
  6. Step 6: Final answer
    x = 16,962.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.