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Finding the Fourth Proportional to 14,057.31, 21,082.14 and 6,938.12

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Solution

The fourth proportional to 14,057.31, 21,082.14 and 6,938.12 is: 10,405.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,057.31 : 21,082.14 = 6,938.12 : x
  2. Step 2: Convert to fraction form
    14,057.31/21,082.14 = 6,938.12/x
  3. Step 3: Cross multiply
    14,057.31x = 21,082.14 × 6,938.12
  4. Step 4: Simplify right side
    14,057.31x = 146,270,469.88
  5. Step 5: Solve for x
    x = 146,270,469.88/14,057.31
  6. Step 6: Final answer
    x = 10,405.29

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1.5x scale

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.