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Finding the Fourth Proportional to 20,282, 30,423 and 6,431

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Solution

The fourth proportional to 20,282, 30,423 and 6,431 is: 9,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,282 : 30,423 = 6,431 : x
  2. Step 2: Convert to fraction form
    20,282/30,423 = 6,431/x
  3. Step 3: Cross multiply
    20,282x = 30,423 × 6,431
  4. Step 4: Simplify right side
    20,282x = 195,650,313
  5. Step 5: Solve for x
    x = 195,650,313/20,282
  6. Step 6: Final answer
    x = 9,646.50

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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.