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Finding the Fourth Proportional to 27,019, 40,528.68 and 8,551

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Solution

The fourth proportional to 27,019, 40,528.68 and 8,551 is: 12,826.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,019 : 40,528.68 = 8,551 : x
  2. Step 2: Convert to fraction form
    27,019/40,528.68 = 8,551/x
  3. Step 3: Cross multiply
    27,019x = 40,528.68 × 8,551
  4. Step 4: Simplify right side
    27,019x = 346,560,742.68
  5. Step 5: Solve for x
    x = 346,560,742.68/27,019
  6. Step 6: Final answer
    x = 12,826.56

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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.