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Finding the Fourth Proportional to 20,439, 30,658.50 and 6,588

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Solution

The fourth proportional to 20,439, 30,658.50 and 6,588 is: 9,882

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,439 : 30,658.50 = 6,588 : x
  2. Step 2: Convert to fraction form
    20,439/30,658.50 = 6,588/x
  3. Step 3: Cross multiply
    20,439x = 30,658.50 × 6,588
  4. Step 4: Simplify right side
    20,439x = 201,978,198
  5. Step 5: Solve for x
    x = 201,978,198/20,439
  6. Step 6: Final answer
    x = 9,882

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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.