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Finding the Fourth Proportional to 18,574.11, 27,857.94 and 8,578.02

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Solution

The fourth proportional to 18,574.11, 27,857.94 and 8,578.02 is: 12,865.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,574.11 : 27,857.94 = 8,578.02 : x
  2. Step 2: Convert to fraction form
    18,574.11/27,857.94 = 8,578.02/x
  3. Step 3: Cross multiply
    18,574.11x = 27,857.94 × 8,578.02
  4. Step 4: Simplify right side
    18,574.11x = 238,965,966.48
  5. Step 5: Solve for x
    x = 238,965,966.48/18,574.11
  6. Step 6: Final answer
    x = 12,865.54

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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.