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Finding the Fourth Proportional to 12,378.63, 17,082.51 and 6,789.63

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Solution

The fourth proportional to 12,378.63, 17,082.51 and 6,789.63 is: 9,369.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.63 : 17,082.51 = 6,789.63 : x
  2. Step 2: Convert to fraction form
    12,378.63/17,082.51 = 6,789.63/x
  3. Step 3: Cross multiply
    12,378.63x = 17,082.51 × 6,789.63
  4. Step 4: Simplify right side
    12,378.63x = 115,983,922.37
  5. Step 5: Solve for x
    x = 115,983,922.37/12,378.63
  6. Step 6: Final answer
    x = 9,369.69

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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.