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Finding the Fourth Proportional to 18,231, 27,346.52 and 4,380

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Solution

The fourth proportional to 18,231, 27,346.52 and 4,380 is: 6,570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,231 : 27,346.52 = 4,380 : x
  2. Step 2: Convert to fraction form
    18,231/27,346.52 = 4,380/x
  3. Step 3: Cross multiply
    18,231x = 27,346.52 × 4,380
  4. Step 4: Simplify right side
    18,231x = 119,777,757.60
  5. Step 5: Solve for x
    x = 119,777,757.60/18,231
  6. Step 6: Final answer
    x = 6,570.00

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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.