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Finding the Fourth Proportional to 13,198, 18,213.88 and 7,310

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Solution

The fourth proportional to 13,198, 18,213.88 and 7,310 is: 10,088.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198 : 18,213.88 = 7,310 : x
  2. Step 2: Convert to fraction form
    13,198/18,213.88 = 7,310/x
  3. Step 3: Cross multiply
    13,198x = 18,213.88 × 7,310
  4. Step 4: Simplify right side
    13,198x = 133,143,462.80
  5. Step 5: Solve for x
    x = 133,143,462.80/13,198
  6. Step 6: Final answer
    x = 10,088.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.