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Finding the Fourth Proportional to 34,262, 51,393 and 9,638

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Solution

The fourth proportional to 34,262, 51,393 and 9,638 is: 14,457

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,262 : 51,393 = 9,638 : x
  2. Step 2: Convert to fraction form
    34,262/51,393 = 9,638/x
  3. Step 3: Cross multiply
    34,262x = 51,393 × 9,638
  4. Step 4: Simplify right side
    34,262x = 495,325,734
  5. Step 5: Solve for x
    x = 495,325,734/34,262
  6. Step 6: Final answer
    x = 14,457

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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.