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Finding the Fourth Proportional to 14,744, 20,346.84 and 8,120

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Solution

The fourth proportional to 14,744, 20,346.84 and 8,120 is: 11,205.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,744 : 20,346.84 = 8,120 : x
  2. Step 2: Convert to fraction form
    14,744/20,346.84 = 8,120/x
  3. Step 3: Cross multiply
    14,744x = 20,346.84 × 8,120
  4. Step 4: Simplify right side
    14,744x = 165,216,340.80
  5. Step 5: Solve for x
    x = 165,216,340.80/14,744
  6. Step 6: Final answer
    x = 11,205.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.