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Finding the Fourth Proportional to 20,446.50, 30,674.10 and 8,134.50

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Solution

The fourth proportional to 20,446.50, 30,674.10 and 8,134.50 is: 12,203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,446.50 : 30,674.10 = 8,134.50 : x
  2. Step 2: Convert to fraction form
    20,446.50/30,674.10 = 8,134.50/x
  3. Step 3: Cross multiply
    20,446.50x = 30,674.10 × 8,134.50
  4. Step 4: Simplify right side
    20,446.50x = 249,518,466.45
  5. Step 5: Solve for x
    x = 249,518,466.45/20,446.50
  6. Step 6: Final answer
    x = 12,203.48

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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.