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Finding the Fourth Proportional to 20,418, 30,627.18 and 8,106

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Solution

The fourth proportional to 20,418, 30,627.18 and 8,106 is: 12,159.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,418 : 30,627.18 = 8,106 : x
  2. Step 2: Convert to fraction form
    20,418/30,627.18 = 8,106/x
  3. Step 3: Cross multiply
    20,418x = 30,627.18 × 8,106
  4. Step 4: Simplify right side
    20,418x = 248,263,921.08
  5. Step 5: Solve for x
    x = 248,263,921.08/20,418
  6. Step 6: Final answer
    x = 12,159.07

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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.