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Finding the Fourth Proportional to 9,874.91, 14,813.78 and 3,209.21

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Solution

The fourth proportional to 9,874.91, 14,813.78 and 3,209.21 is: 4,814.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.91 : 14,813.78 = 3,209.21 : x
  2. Step 2: Convert to fraction form
    9,874.91/14,813.78 = 3,209.21/x
  3. Step 3: Cross multiply
    9,874.91x = 14,813.78 × 3,209.21
  4. Step 4: Simplify right side
    9,874.91x = 47,540,440.80
  5. Step 5: Solve for x
    x = 47,540,440.80/9,874.91
  6. Step 6: Final answer
    x = 4,814.27

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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.