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Finding the Fourth Proportional to 18,652.23, 27,978.30 and 5,513.85

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Solution

The fourth proportional to 18,652.23, 27,978.30 and 5,513.85 is: 8,270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,652.23 : 27,978.30 = 5,513.85 : x
  2. Step 2: Convert to fraction form
    18,652.23/27,978.30 = 5,513.85/x
  3. Step 3: Cross multiply
    18,652.23x = 27,978.30 × 5,513.85
  4. Step 4: Simplify right side
    18,652.23x = 154,268,149.46
  5. Step 5: Solve for x
    x = 154,268,149.46/18,652.23
  6. Step 6: Final answer
    x = 8,270.76

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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.