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Finding the Fourth Proportional to 8,143.84, 12,217.84 and 4,445.12

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Solution

The fourth proportional to 8,143.84, 12,217.84 and 4,445.12 is: 6,668.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.84 : 12,217.84 = 4,445.12 : x
  2. Step 2: Convert to fraction form
    8,143.84/12,217.84 = 4,445.12/x
  3. Step 3: Cross multiply
    8,143.84x = 12,217.84 × 4,445.12
  4. Step 4: Simplify right side
    8,143.84x = 54,309,764.94
  5. Step 5: Solve for x
    x = 54,309,764.94/8,143.84
  6. Step 6: Final answer
    x = 6,668.82

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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.