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Finding the Fourth Proportional to 18,566, 27,848.46 and 6,878.96

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Solution

The fourth proportional to 18,566, 27,848.46 and 6,878.96 is: 10,318.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,566 : 27,848.46 = 6,878.96 : x
  2. Step 2: Convert to fraction form
    18,566/27,848.46 = 6,878.96/x
  3. Step 3: Cross multiply
    18,566x = 27,848.46 × 6,878.96
  4. Step 4: Simplify right side
    18,566x = 191,568,442.40
  5. Step 5: Solve for x
    x = 191,568,442.40/18,566
  6. Step 6: Final answer
    x = 10,318.24

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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.