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Finding the Fourth Proportional to 14,231.94, 19,640.74 and 7,859.43

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Solution

The fourth proportional to 14,231.94, 19,640.74 and 7,859.43 is: 10,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,231.94 : 19,640.74 = 7,859.43 : x
  2. Step 2: Convert to fraction form
    14,231.94/19,640.74 = 7,859.43/x
  3. Step 3: Cross multiply
    14,231.94x = 19,640.74 × 7,859.43
  4. Step 4: Simplify right side
    14,231.94x = 154,365,021.18
  5. Step 5: Solve for x
    x = 154,365,021.18/14,231.94
  6. Step 6: Final answer
    x = 10,846.38

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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.