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Finding the Fourth Proportional to 18,472, 27,708 and 7,383.64

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Solution

The fourth proportional to 18,472, 27,708 and 7,383.64 is: 11,075.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,472 : 27,708 = 7,383.64 : x
  2. Step 2: Convert to fraction form
    18,472/27,708 = 7,383.64/x
  3. Step 3: Cross multiply
    18,472x = 27,708 × 7,383.64
  4. Step 4: Simplify right side
    18,472x = 204,585,897.12
  5. Step 5: Solve for x
    x = 204,585,897.12/18,472
  6. Step 6: Final answer
    x = 11,075.46

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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.