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Finding the Fourth Proportional to 12,817.67, 17,687.67 and 8,037.82

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Solution

The fourth proportional to 12,817.67, 17,687.67 and 8,037.82 is: 11,091.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.67 : 17,687.67 = 8,037.82 : x
  2. Step 2: Convert to fraction form
    12,817.67/17,687.67 = 8,037.82/x
  3. Step 3: Cross multiply
    12,817.67x = 17,687.67 × 8,037.82
  4. Step 4: Simplify right side
    12,817.67x = 142,170,307.68
  5. Step 5: Solve for x
    x = 142,170,307.68/12,817.67
  6. Step 6: Final answer
    x = 11,091.74

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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.