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Finding the Fourth Proportional to 20,084.79, 30,134.49 and 6,938.49

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Solution

The fourth proportional to 20,084.79, 30,134.49 and 6,938.49 is: 10,410.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,084.79 : 30,134.49 = 6,938.49 : x
  2. Step 2: Convert to fraction form
    20,084.79/30,134.49 = 6,938.49/x
  3. Step 3: Cross multiply
    20,084.79x = 30,134.49 × 6,938.49
  4. Step 4: Simplify right side
    20,084.79x = 209,087,857.52
  5. Step 5: Solve for x
    x = 209,087,857.52/20,084.79
  6. Step 6: Final answer
    x = 10,410.26

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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.