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Finding the Fourth Proportional to 12,782.33, 17,636.90 and 8,063.88

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Solution

The fourth proportional to 12,782.33, 17,636.90 and 8,063.88 is: 11,126.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.33 : 17,636.90 = 8,063.88 : x
  2. Step 2: Convert to fraction form
    12,782.33/17,636.90 = 8,063.88/x
  3. Step 3: Cross multiply
    12,782.33x = 17,636.90 × 8,063.88
  4. Step 4: Simplify right side
    12,782.33x = 142,221,845.17
  5. Step 5: Solve for x
    x = 142,221,845.17/12,782.33
  6. Step 6: Final answer
    x = 11,126.44

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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.