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Finding the Fourth Proportional to 20,290, 30,435.01 and 6,439

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Solution

The fourth proportional to 20,290, 30,435.01 and 6,439 is: 9,658.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,290 : 30,435.01 = 6,439 : x
  2. Step 2: Convert to fraction form
    20,290/30,435.01 = 6,439/x
  3. Step 3: Cross multiply
    20,290x = 30,435.01 × 6,439
  4. Step 4: Simplify right side
    20,290x = 195,971,029.39
  5. Step 5: Solve for x
    x = 195,971,029.39/20,290
  6. Step 6: Final answer
    x = 9,658.50

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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.