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Finding the Fourth Proportional to 8,143.06, 12,213.06 and 2,299.63

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Solution

The fourth proportional to 8,143.06, 12,213.06 and 2,299.63 is: 3,449.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.06 : 12,213.06 = 2,299.63 : x
  2. Step 2: Convert to fraction form
    8,143.06/12,213.06 = 2,299.63/x
  3. Step 3: Cross multiply
    8,143.06x = 12,213.06 × 2,299.63
  4. Step 4: Simplify right side
    8,143.06x = 28,085,519.17
  5. Step 5: Solve for x
    x = 28,085,519.17/8,143.06
  6. Step 6: Final answer
    x = 3,449.01

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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.