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Finding the Fourth Proportional to 20,659.06, 30,983.06 and 8,969.50

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Solution

The fourth proportional to 20,659.06, 30,983.06 and 8,969.50 is: 13,451.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,659.06 : 30,983.06 = 8,969.50 : x
  2. Step 2: Convert to fraction form
    20,659.06/30,983.06 = 8,969.50/x
  3. Step 3: Cross multiply
    20,659.06x = 30,983.06 × 8,969.50
  4. Step 4: Simplify right side
    20,659.06x = 277,902,511.82
  5. Step 5: Solve for x
    x = 277,902,511.82/20,659.06
  6. Step 6: Final answer
    x = 13,451.85

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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.