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Finding the Fourth Proportional to 12,863.34, 17,748.60 and 8,144.88

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Solution

The fourth proportional to 12,863.34, 17,748.60 and 8,144.88 is: 11,238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.34 : 17,748.60 = 8,144.88 : x
  2. Step 2: Convert to fraction form
    12,863.34/17,748.60 = 8,144.88/x
  3. Step 3: Cross multiply
    12,863.34x = 17,748.60 × 8,144.88
  4. Step 4: Simplify right side
    12,863.34x = 144,560,217.17
  5. Step 5: Solve for x
    x = 144,560,217.17/12,863.34
  6. Step 6: Final answer
    x = 11,238.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.