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Finding the Fourth Proportional to 12,378.26, 17,082.81 and 6,789.26

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Solution

The fourth proportional to 12,378.26, 17,082.81 and 6,789.26 is: 9,369.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.26 : 17,082.81 = 6,789.26 : x
  2. Step 2: Convert to fraction form
    12,378.26/17,082.81 = 6,789.26/x
  3. Step 3: Cross multiply
    12,378.26x = 17,082.81 × 6,789.26
  4. Step 4: Simplify right side
    12,378.26x = 115,979,638.62
  5. Step 5: Solve for x
    x = 115,979,638.62/12,378.26
  6. Step 6: Final answer
    x = 9,369.62

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1.5x scale

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.