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Finding the Fourth Proportional to 14,684.92, 20,265.14 and 8,311.34

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Solution

The fourth proportional to 14,684.92, 20,265.14 and 8,311.34 is: 11,469.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,684.92 : 20,265.14 = 8,311.34 : x
  2. Step 2: Convert to fraction form
    14,684.92/20,265.14 = 8,311.34/x
  3. Step 3: Cross multiply
    14,684.92x = 20,265.14 × 8,311.34
  4. Step 4: Simplify right side
    14,684.92x = 168,430,325.81
  5. Step 5: Solve for x
    x = 168,430,325.81/14,684.92
  6. Step 6: Final answer
    x = 11,469.61

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1.5x scale

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.