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Finding the Fourth Proportional to 20,616, 30,938.40 and 8,304

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Solution

The fourth proportional to 20,616, 30,938.40 and 8,304 is: 12,461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,616 : 30,938.40 = 8,304 : x
  2. Step 2: Convert to fraction form
    20,616/30,938.40 = 8,304/x
  3. Step 3: Cross multiply
    20,616x = 30,938.40 × 8,304
  4. Step 4: Simplify right side
    20,616x = 256,912,473.60
  5. Step 5: Solve for x
    x = 256,912,473.60/20,616
  6. Step 6: Final answer
    x = 12,461.80

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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.