Home / 12,382.24-18,576.62-6,142

Finding the Fourth Proportional to 12,382.24, 18,576.62 and 6,142

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Solution

The fourth proportional to 12,382.24, 18,576.62 and 6,142 is: 9,214.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.24 : 18,576.62 = 6,142 : x
  2. Step 2: Convert to fraction form
    12,382.24/18,576.62 = 6,142/x
  3. Step 3: Cross multiply
    12,382.24x = 18,576.62 × 6,142
  4. Step 4: Simplify right side
    12,382.24x = 114,097,600.04
  5. Step 5: Solve for x
    x = 114,097,600.04/12,382.24
  6. Step 6: Final answer
    x = 9,214.62

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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.