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Finding the Fourth Proportional to 8,564.78, 12,847.95 and 3,369.44

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Solution

The fourth proportional to 8,564.78, 12,847.95 and 3,369.44 is: 5,054.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.78 : 12,847.95 = 3,369.44 : x
  2. Step 2: Convert to fraction form
    8,564.78/12,847.95 = 3,369.44/x
  3. Step 3: Cross multiply
    8,564.78x = 12,847.95 × 3,369.44
  4. Step 4: Simplify right side
    8,564.78x = 43,290,332.41
  5. Step 5: Solve for x
    x = 43,290,332.41/8,564.78
  6. Step 6: Final answer
    x = 5,054.46

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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.