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Finding the Fourth Proportional to 8,369, 12,553.53 and 2,213

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Solution

The fourth proportional to 8,369, 12,553.53 and 2,213 is: 3,319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369 : 12,553.53 = 2,213 : x
  2. Step 2: Convert to fraction form
    8,369/12,553.53 = 2,213/x
  3. Step 3: Cross multiply
    8,369x = 12,553.53 × 2,213
  4. Step 4: Simplify right side
    8,369x = 27,780,961.89
  5. Step 5: Solve for x
    x = 27,780,961.89/8,369
  6. Step 6: Final answer
    x = 3,319.51

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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.