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Finding the Fourth Proportional to 31,826, 47,739 and 9,938

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Solution

The fourth proportional to 31,826, 47,739 and 9,938 is: 14,907

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,826 : 47,739 = 9,938 : x
  2. Step 2: Convert to fraction form
    31,826/47,739 = 9,938/x
  3. Step 3: Cross multiply
    31,826x = 47,739 × 9,938
  4. Step 4: Simplify right side
    31,826x = 474,430,182
  5. Step 5: Solve for x
    x = 474,430,182/31,826
  6. Step 6: Final answer
    x = 14,907

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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.