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Finding the Fourth Proportional to 8,811.85, 13,198.32 and 8,602.87

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Solution

The fourth proportional to 8,811.85, 13,198.32 and 8,602.87 is: 12,885.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,811.85 : 13,198.32 = 8,602.87 : x
  2. Step 2: Convert to fraction form
    8,811.85/13,198.32 = 8,602.87/x
  3. Step 3: Cross multiply
    8,811.85x = 13,198.32 × 8,602.87
  4. Step 4: Simplify right side
    8,811.85x = 113,543,431.18
  5. Step 5: Solve for x
    x = 113,543,431.18/8,811.85
  6. Step 6: Final answer
    x = 12,885.31

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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.