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Finding the Fourth Proportional to 8,213.10, 12,319.64 and 2,667.00

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Solution

The fourth proportional to 8,213.10, 12,319.64 and 2,667.00 is: 4,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.10 : 12,319.64 = 2,667.00 : x
  2. Step 2: Convert to fraction form
    8,213.10/12,319.64 = 2,667.00/x
  3. Step 3: Cross multiply
    8,213.10x = 12,319.64 × 2,667.00
  4. Step 4: Simplify right side
    8,213.10x = 32,856,503.10
  5. Step 5: Solve for x
    x = 32,856,503.10/8,213.10
  6. Step 6: Final answer
    x = 4,000.50

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Double scale
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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.