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Finding the Fourth Proportional to 7,898, 11,847 and 2,426

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Solution

The fourth proportional to 7,898, 11,847 and 2,426 is: 3,639

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898 : 11,847 = 2,426 : x
  2. Step 2: Convert to fraction form
    7,898/11,847 = 2,426/x
  3. Step 3: Cross multiply
    7,898x = 11,847 × 2,426
  4. Step 4: Simplify right side
    7,898x = 28,740,822
  5. Step 5: Solve for x
    x = 28,740,822/7,898
  6. Step 6: Final answer
    x = 3,639

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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.