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Finding the Fourth Proportional to 8,538, 12,811.05 and 5,409.24

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Solution

The fourth proportional to 8,538, 12,811.05 and 5,409.24 is: 8,116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538 : 12,811.05 = 5,409.24 : x
  2. Step 2: Convert to fraction form
    8,538/12,811.05 = 5,409.24/x
  3. Step 3: Cross multiply
    8,538x = 12,811.05 × 5,409.24
  4. Step 4: Simplify right side
    8,538x = 69,298,044.10
  5. Step 5: Solve for x
    x = 69,298,044.10/8,538
  6. Step 6: Final answer
    x = 8,116.43

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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.