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Finding the Fourth Proportional to 7,286.83, 10,921.97 and 6,407.63

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Solution

The fourth proportional to 7,286.83, 10,921.97 and 6,407.63 is: 9,604.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.83 : 10,921.97 = 6,407.63 : x
  2. Step 2: Convert to fraction form
    7,286.83/10,921.97 = 6,407.63/x
  3. Step 3: Cross multiply
    7,286.83x = 10,921.97 × 6,407.63
  4. Step 4: Simplify right side
    7,286.83x = 69,983,942.63
  5. Step 5: Solve for x
    x = 69,983,942.63/7,286.83
  6. Step 6: Final answer
    x = 9,604.17

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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.