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Finding the Fourth Proportional to 8,839, 13,260.12 and 4,222

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Solution

The fourth proportional to 8,839, 13,260.12 and 4,222 is: 6,333.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,839 : 13,260.12 = 4,222 : x
  2. Step 2: Convert to fraction form
    8,839/13,260.12 = 4,222/x
  3. Step 3: Cross multiply
    8,839x = 13,260.12 × 4,222
  4. Step 4: Simplify right side
    8,839x = 55,984,226.64
  5. Step 5: Solve for x
    x = 55,984,226.64/8,839
  6. Step 6: Final answer
    x = 6,333.77

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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.