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Finding the Fourth Proportional to 14,231.70, 19,640.85 and 7,859.52

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Solution

The fourth proportional to 14,231.70, 19,640.85 and 7,859.52 is: 10,846.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,231.70 : 19,640.85 = 7,859.52 : x
  2. Step 2: Convert to fraction form
    14,231.70/19,640.85 = 7,859.52/x
  3. Step 3: Cross multiply
    14,231.70x = 19,640.85 × 7,859.52
  4. Step 4: Simplify right side
    14,231.70x = 154,367,653.39
  5. Step 5: Solve for x
    x = 154,367,653.39/14,231.70
  6. Step 6: Final answer
    x = 10,846.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.