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Finding the Fourth Proportional to 18,666, 27,999.54 and 4,815

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Solution

The fourth proportional to 18,666, 27,999.54 and 4,815 is: 7,222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,666 : 27,999.54 = 4,815 : x
  2. Step 2: Convert to fraction form
    18,666/27,999.54 = 4,815/x
  3. Step 3: Cross multiply
    18,666x = 27,999.54 × 4,815
  4. Step 4: Simplify right side
    18,666x = 134,817,785.10
  5. Step 5: Solve for x
    x = 134,817,785.10/18,666
  6. Step 6: Final answer
    x = 7,222.64

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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.