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Finding the Fourth Proportional to 13,208, 18,227.08 and 7,620.08

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Solution

The fourth proportional to 13,208, 18,227.08 and 7,620.08 is: 10,515.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,208 : 18,227.08 = 7,620.08 : x
  2. Step 2: Convert to fraction form
    13,208/18,227.08 = 7,620.08/x
  3. Step 3: Cross multiply
    13,208x = 18,227.08 × 7,620.08
  4. Step 4: Simplify right side
    13,208x = 138,891,807.77
  5. Step 5: Solve for x
    x = 138,891,807.77/13,208
  6. Step 6: Final answer
    x = 10,515.73

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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.