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Finding the Fourth Proportional to 20,659.44, 30,978.16 and 8,178.96

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Solution

The fourth proportional to 20,659.44, 30,978.16 and 8,178.96 is: 12,264.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,659.44 : 30,978.16 = 8,178.96 : x
  2. Step 2: Convert to fraction form
    20,659.44/30,978.16 = 8,178.96/x
  3. Step 3: Cross multiply
    20,659.44x = 30,978.16 × 8,178.96
  4. Step 4: Simplify right side
    20,659.44x = 253,369,131.51
  5. Step 5: Solve for x
    x = 253,369,131.51/20,659.44
  6. Step 6: Final answer
    x = 12,264.09

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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.