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Finding the Fourth Proportional to 36,520, 50,397.60 and 21,616

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Solution

The fourth proportional to 36,520, 50,397.60 and 21,616 is: 29,830.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,520 : 50,397.60 = 21,616 : x
  2. Step 2: Convert to fraction form
    36,520/50,397.60 = 21,616/x
  3. Step 3: Cross multiply
    36,520x = 50,397.60 × 21,616
  4. Step 4: Simplify right side
    36,520x = 1,089,394,521.60
  5. Step 5: Solve for x
    x = 1,089,394,521.60/36,520
  6. Step 6: Final answer
    x = 29,830.08

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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.