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Finding the Fourth Proportional to 6,725, 10,089.12 and 2,108

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Solution

The fourth proportional to 6,725, 10,089.12 and 2,108 is: 3,162.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725 : 10,089.12 = 2,108 : x
  2. Step 2: Convert to fraction form
    6,725/10,089.12 = 2,108/x
  3. Step 3: Cross multiply
    6,725x = 10,089.12 × 2,108
  4. Step 4: Simplify right side
    6,725x = 21,267,864.96
  5. Step 5: Solve for x
    x = 21,267,864.96/6,725
  6. Step 6: Final answer
    x = 3,162.51

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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.