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Finding the Fourth Proportional to 8,529.30, 12,793.95 and 8,164.80

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Solution

The fourth proportional to 8,529.30, 12,793.95 and 8,164.80 is: 12,247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,529.30 : 12,793.95 = 8,164.80 : x
  2. Step 2: Convert to fraction form
    8,529.30/12,793.95 = 8,164.80/x
  3. Step 3: Cross multiply
    8,529.30x = 12,793.95 × 8,164.80
  4. Step 4: Simplify right side
    8,529.30x = 104,460,042.96
  5. Step 5: Solve for x
    x = 104,460,042.96/8,529.30
  6. Step 6: Final answer
    x = 12,247.20

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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.