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Finding the Fourth Proportional to 12,917.40, 17,821.42 and 8,443.73

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Solution

The fourth proportional to 12,917.40, 17,821.42 and 8,443.73 is: 11,649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,917.40 : 17,821.42 = 8,443.73 : x
  2. Step 2: Convert to fraction form
    12,917.40/17,821.42 = 8,443.73/x
  3. Step 3: Cross multiply
    12,917.40x = 17,821.42 × 8,443.73
  4. Step 4: Simplify right side
    12,917.40x = 150,479,282.14
  5. Step 5: Solve for x
    x = 150,479,282.14/12,917.40
  6. Step 6: Final answer
    x = 11,649.35

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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.