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Finding the Fourth Proportional to 8,105.76, 12,165.08 and 4,211.28

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Solution

The fourth proportional to 8,105.76, 12,165.08 and 4,211.28 is: 6,320.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.76 : 12,165.08 = 4,211.28 : x
  2. Step 2: Convert to fraction form
    8,105.76/12,165.08 = 4,211.28/x
  3. Step 3: Cross multiply
    8,105.76x = 12,165.08 × 4,211.28
  4. Step 4: Simplify right side
    8,105.76x = 51,230,558.10
  5. Step 5: Solve for x
    x = 51,230,558.10/8,105.76
  6. Step 6: Final answer
    x = 6,320.27

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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.