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Finding the Fourth Proportional to 11,222.80, 16,805.40 and 8,285.20

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Solution

The fourth proportional to 11,222.80, 16,805.40 and 8,285.20 is: 12,406.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,222.80 : 16,805.40 = 8,285.20 : x
  2. Step 2: Convert to fraction form
    11,222.80/16,805.40 = 8,285.20/x
  3. Step 3: Cross multiply
    11,222.80x = 16,805.40 × 8,285.20
  4. Step 4: Simplify right side
    11,222.80x = 139,236,100.08
  5. Step 5: Solve for x
    x = 139,236,100.08/11,222.80
  6. Step 6: Final answer
    x = 12,406.54

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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.