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Finding the Fourth Proportional to 36,524.88, 50,409.12 and 21,216

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Solution

The fourth proportional to 36,524.88, 50,409.12 and 21,216 is: 29,280.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,524.88 : 50,409.12 = 21,216 : x
  2. Step 2: Convert to fraction form
    36,524.88/50,409.12 = 21,216/x
  3. Step 3: Cross multiply
    36,524.88x = 50,409.12 × 21,216
  4. Step 4: Simplify right side
    36,524.88x = 1,069,479,889.92
  5. Step 5: Solve for x
    x = 1,069,479,889.92/36,524.88
  6. Step 6: Final answer
    x = 29,280.86

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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.