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Finding the Fourth Proportional to 18,576.81, 27,858.74 and 8,182.89

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Solution

The fourth proportional to 18,576.81, 27,858.74 and 8,182.89 is: 12,271.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,576.81 : 27,858.74 = 8,182.89 : x
  2. Step 2: Convert to fraction form
    18,576.81/27,858.74 = 8,182.89/x
  3. Step 3: Cross multiply
    18,576.81x = 27,858.74 × 8,182.89
  4. Step 4: Simplify right side
    18,576.81x = 227,964,964.04
  5. Step 5: Solve for x
    x = 227,964,964.04/18,576.81
  6. Step 6: Final answer
    x = 12,271.48

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1.5x scale

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.