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Finding the Fourth Proportional to 36,384, 50,222.88 and 21,480

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Solution

The fourth proportional to 36,384, 50,222.88 and 21,480 is: 29,650.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,384 : 50,222.88 = 21,480 : x
  2. Step 2: Convert to fraction form
    36,384/50,222.88 = 21,480/x
  3. Step 3: Cross multiply
    36,384x = 50,222.88 × 21,480
  4. Step 4: Simplify right side
    36,384x = 1,078,787,462.40
  5. Step 5: Solve for x
    x = 1,078,787,462.40/36,384
  6. Step 6: Final answer
    x = 29,650.05

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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.