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Finding the Fourth Proportional to 21,305.63, 31,964.52 and 8,659.31

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Solution

The fourth proportional to 21,305.63, 31,964.52 and 8,659.31 is: 12,991.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,305.63 : 31,964.52 = 8,659.31 : x
  2. Step 2: Convert to fraction form
    21,305.63/31,964.52 = 8,659.31/x
  3. Step 3: Cross multiply
    21,305.63x = 31,964.52 × 8,659.31
  4. Step 4: Simplify right side
    21,305.63x = 276,790,560.33
  5. Step 5: Solve for x
    x = 276,790,560.33/21,305.63
  6. Step 6: Final answer
    x = 12,991.43

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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.