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Finding the Fourth Proportional to 14,311.97, 19,745.79 and 8,644.60

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Solution

The fourth proportional to 14,311.97, 19,745.79 and 8,644.60 is: 11,926.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.97 : 19,745.79 = 8,644.60 : x
  2. Step 2: Convert to fraction form
    14,311.97/19,745.79 = 8,644.60/x
  3. Step 3: Cross multiply
    14,311.97x = 19,745.79 × 8,644.60
  4. Step 4: Simplify right side
    14,311.97x = 170,694,357.51
  5. Step 5: Solve for x
    x = 170,694,357.51/14,311.97
  6. Step 6: Final answer
    x = 11,926.69

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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.