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Finding the Fourth Proportional to 31,826, 47,739 and 8,452.64

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Solution

The fourth proportional to 31,826, 47,739 and 8,452.64 is: 12,678.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,826 : 47,739 = 8,452.64 : x
  2. Step 2: Convert to fraction form
    31,826/47,739 = 8,452.64/x
  3. Step 3: Cross multiply
    31,826x = 47,739 × 8,452.64
  4. Step 4: Simplify right side
    31,826x = 403,520,580.96
  5. Step 5: Solve for x
    x = 403,520,580.96/31,826
  6. Step 6: Final answer
    x = 12,678.96

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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.