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Finding the Fourth Proportional to 20,286, 30,429 and 6,435

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Solution

The fourth proportional to 20,286, 30,429 and 6,435 is: 9,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,286 : 30,429 = 6,435 : x
  2. Step 2: Convert to fraction form
    20,286/30,429 = 6,435/x
  3. Step 3: Cross multiply
    20,286x = 30,429 × 6,435
  4. Step 4: Simplify right side
    20,286x = 195,810,615
  5. Step 5: Solve for x
    x = 195,810,615/20,286
  6. Step 6: Final answer
    x = 9,652.50

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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.