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Finding the Fourth Proportional to 18,582.31, 27,886.15 and 7,489.86

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Solution

The fourth proportional to 18,582.31, 27,886.15 and 7,489.86 is: 11,239.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,582.31 : 27,886.15 = 7,489.86 : x
  2. Step 2: Convert to fraction form
    18,582.31/27,886.15 = 7,489.86/x
  3. Step 3: Cross multiply
    18,582.31x = 27,886.15 × 7,489.86
  4. Step 4: Simplify right side
    18,582.31x = 208,863,359.44
  5. Step 5: Solve for x
    x = 208,863,359.44/18,582.31
  6. Step 6: Final answer
    x = 11,239.91

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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.