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Finding the Fourth Proportional to 18,660, 27,990.54 and 4,809

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Solution

The fourth proportional to 18,660, 27,990.54 and 4,809 is: 7,213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,660 : 27,990.54 = 4,809 : x
  2. Step 2: Convert to fraction form
    18,660/27,990.54 = 4,809/x
  3. Step 3: Cross multiply
    18,660x = 27,990.54 × 4,809
  4. Step 4: Simplify right side
    18,660x = 134,606,506.86
  5. Step 5: Solve for x
    x = 134,606,506.86/18,660
  6. Step 6: Final answer
    x = 7,213.64

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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.