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Finding the Fourth Proportional to 8,209.92, 12,311.60 and 3,012.96

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Solution

The fourth proportional to 8,209.92, 12,311.60 and 3,012.96 is: 4,518.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.92 : 12,311.60 = 3,012.96 : x
  2. Step 2: Convert to fraction form
    8,209.92/12,311.60 = 3,012.96/x
  3. Step 3: Cross multiply
    8,209.92x = 12,311.60 × 3,012.96
  4. Step 4: Simplify right side
    8,209.92x = 37,094,358.34
  5. Step 5: Solve for x
    x = 37,094,358.34/8,209.92
  6. Step 6: Final answer
    x = 4,518.24

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1.5x scale

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.