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Finding the Fourth Proportional to 18,314.10, 27,450 and 8,432.64

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Solution

The fourth proportional to 18,314.10, 27,450 and 8,432.64 is: 12,639.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,314.10 : 27,450 = 8,432.64 : x
  2. Step 2: Convert to fraction form
    18,314.10/27,450 = 8,432.64/x
  3. Step 3: Cross multiply
    18,314.10x = 27,450 × 8,432.64
  4. Step 4: Simplify right side
    18,314.10x = 231,475,968.00
  5. Step 5: Solve for x
    x = 231,475,968.00/18,314.10
  6. Step 6: Final answer
    x = 12,639.22

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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.