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Finding the Fourth Proportional to 17,123.54, 25,678.02 and 6,728

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Solution

The fourth proportional to 17,123.54, 25,678.02 and 6,728 is: 10,089.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,123.54 : 25,678.02 = 6,728 : x
  2. Step 2: Convert to fraction form
    17,123.54/25,678.02 = 6,728/x
  3. Step 3: Cross multiply
    17,123.54x = 25,678.02 × 6,728
  4. Step 4: Simplify right side
    17,123.54x = 172,761,718.56
  5. Step 5: Solve for x
    x = 172,761,718.56/17,123.54
  6. Step 6: Final answer
    x = 10,089.14

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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.