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Finding the Fourth Proportional to 14,554, 20,084.52 and 7,930

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Solution

The fourth proportional to 14,554, 20,084.52 and 7,930 is: 10,943.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,554 : 20,084.52 = 7,930 : x
  2. Step 2: Convert to fraction form
    14,554/20,084.52 = 7,930/x
  3. Step 3: Cross multiply
    14,554x = 20,084.52 × 7,930
  4. Step 4: Simplify right side
    14,554x = 159,270,243.60
  5. Step 5: Solve for x
    x = 159,270,243.60/14,554
  6. Step 6: Final answer
    x = 10,943.40

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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.