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Finding the Fourth Proportional to 8,564.48, 12,831 and 7,186.64

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Solution

The fourth proportional to 8,564.48, 12,831 and 7,186.64 is: 10,766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.48 : 12,831 = 7,186.64 : x
  2. Step 2: Convert to fraction form
    8,564.48/12,831 = 7,186.64/x
  3. Step 3: Cross multiply
    8,564.48x = 12,831 × 7,186.64
  4. Step 4: Simplify right side
    8,564.48x = 92,211,777.84
  5. Step 5: Solve for x
    x = 92,211,777.84/8,564.48
  6. Step 6: Final answer
    x = 10,766.77

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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.