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Finding the Fourth Proportional to 15,304, 21,119.52 and 8,680

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Solution

The fourth proportional to 15,304, 21,119.52 and 8,680 is: 11,978.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,304 : 21,119.52 = 8,680 : x
  2. Step 2: Convert to fraction form
    15,304/21,119.52 = 8,680/x
  3. Step 3: Cross multiply
    15,304x = 21,119.52 × 8,680
  4. Step 4: Simplify right side
    15,304x = 183,317,433.60
  5. Step 5: Solve for x
    x = 183,317,433.60/15,304
  6. Step 6: Final answer
    x = 11,978.40

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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.