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Finding the Fourth Proportional to 36,643.50, 54,965.79 and 12,019.50

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Solution

The fourth proportional to 36,643.50, 54,965.79 and 12,019.50 is: 18,029.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,643.50 : 54,965.79 = 12,019.50 : x
  2. Step 2: Convert to fraction form
    36,643.50/54,965.79 = 12,019.50/x
  3. Step 3: Cross multiply
    36,643.50x = 54,965.79 × 12,019.50
  4. Step 4: Simplify right side
    36,643.50x = 660,661,312.91
  5. Step 5: Solve for x
    x = 660,661,312.91/36,643.50
  6. Step 6: Final answer
    x = 18,029.43

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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.