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Finding the Fourth Proportional to 20,946, 31,419 and 6,354

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Solution

The fourth proportional to 20,946, 31,419 and 6,354 is: 9,531

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,946 : 31,419 = 6,354 : x
  2. Step 2: Convert to fraction form
    20,946/31,419 = 6,354/x
  3. Step 3: Cross multiply
    20,946x = 31,419 × 6,354
  4. Step 4: Simplify right side
    20,946x = 199,636,326
  5. Step 5: Solve for x
    x = 199,636,326/20,946
  6. Step 6: Final answer
    x = 9,531

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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.