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Finding the Fourth Proportional to 8,987, 13,481.04 and 2,831

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Solution

The fourth proportional to 8,987, 13,481.04 and 2,831 is: 4,246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,987 : 13,481.04 = 2,831 : x
  2. Step 2: Convert to fraction form
    8,987/13,481.04 = 2,831/x
  3. Step 3: Cross multiply
    8,987x = 13,481.04 × 2,831
  4. Step 4: Simplify right side
    8,987x = 38,164,824.24
  5. Step 5: Solve for x
    x = 38,164,824.24/8,987
  6. Step 6: Final answer
    x = 4,246.67

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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.