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Finding the Fourth Proportional to 7,104, 10,659.84 and 3,456

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Solution

The fourth proportional to 7,104, 10,659.84 and 3,456 is: 5,185.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104 : 10,659.84 = 3,456 : x
  2. Step 2: Convert to fraction form
    7,104/10,659.84 = 3,456/x
  3. Step 3: Cross multiply
    7,104x = 10,659.84 × 3,456
  4. Step 4: Simplify right side
    7,104x = 36,840,407.04
  5. Step 5: Solve for x
    x = 36,840,407.04/7,104
  6. Step 6: Final answer
    x = 5,185.87

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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.