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Finding the Fourth Proportional to 20,426.88, 30,643.20 and 8,112

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Solution

The fourth proportional to 20,426.88, 30,643.20 and 8,112 is: 12,169.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,426.88 : 30,643.20 = 8,112 : x
  2. Step 2: Convert to fraction form
    20,426.88/30,643.20 = 8,112/x
  3. Step 3: Cross multiply
    20,426.88x = 30,643.20 × 8,112
  4. Step 4: Simplify right side
    20,426.88x = 248,577,638.40
  5. Step 5: Solve for x
    x = 248,577,638.40/20,426.88
  6. Step 6: Final answer
    x = 12,169.14

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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.