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Finding the Fourth Proportional to 12,274, 18,399.75 and 4,782.61

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Solution

The fourth proportional to 12,274, 18,399.75 and 4,782.61 is: 7,169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274 : 18,399.75 = 4,782.61 : x
  2. Step 2: Convert to fraction form
    12,274/18,399.75 = 4,782.61/x
  3. Step 3: Cross multiply
    12,274x = 18,399.75 × 4,782.61
  4. Step 4: Simplify right side
    12,274x = 87,998,828.35
  5. Step 5: Solve for x
    x = 87,998,828.35/12,274
  6. Step 6: Final answer
    x = 7,169.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.