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Finding the Fourth Proportional to 11,808, 17,712 and 4,882.68

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Solution

The fourth proportional to 11,808, 17,712 and 4,882.68 is: 7,324.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808 : 17,712 = 4,882.68 : x
  2. Step 2: Convert to fraction form
    11,808/17,712 = 4,882.68/x
  3. Step 3: Cross multiply
    11,808x = 17,712 × 4,882.68
  4. Step 4: Simplify right side
    11,808x = 86,482,028.16
  5. Step 5: Solve for x
    x = 86,482,028.16/11,808
  6. Step 6: Final answer
    x = 7,324.02

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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.