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Finding the Fourth Proportional to 8,967.47, 13,453.37 and 2,811.47

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Solution

The fourth proportional to 8,967.47, 13,453.37 and 2,811.47 is: 4,217.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,967.47 : 13,453.37 = 2,811.47 : x
  2. Step 2: Convert to fraction form
    8,967.47/13,453.37 = 2,811.47/x
  3. Step 3: Cross multiply
    8,967.47x = 13,453.37 × 2,811.47
  4. Step 4: Simplify right side
    8,967.47x = 37,823,732.10
  5. Step 5: Solve for x
    x = 37,823,732.10/8,967.47
  6. Step 6: Final answer
    x = 4,217.88

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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.