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Finding the Fourth Proportional to 18,540.78, 27,811.17 and 4,689.78

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Solution

The fourth proportional to 18,540.78, 27,811.17 and 4,689.78 is: 7,034.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,540.78 : 27,811.17 = 4,689.78 : x
  2. Step 2: Convert to fraction form
    18,540.78/27,811.17 = 4,689.78/x
  3. Step 3: Cross multiply
    18,540.78x = 27,811.17 × 4,689.78
  4. Step 4: Simplify right side
    18,540.78x = 130,428,268.84
  5. Step 5: Solve for x
    x = 130,428,268.84/18,540.78
  6. Step 6: Final answer
    x = 7,034.67

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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.