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Finding the Fourth Proportional to 8,564.40, 12,840.12 and 3,367.44

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Solution

The fourth proportional to 8,564.40, 12,840.12 and 3,367.44 is: 5,048.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.40 : 12,840.12 = 3,367.44 : x
  2. Step 2: Convert to fraction form
    8,564.40/12,840.12 = 3,367.44/x
  3. Step 3: Cross multiply
    8,564.40x = 12,840.12 × 3,367.44
  4. Step 4: Simplify right side
    8,564.40x = 43,238,333.69
  5. Step 5: Solve for x
    x = 43,238,333.69/8,564.40
  6. Step 6: Final answer
    x = 5,048.61

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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.