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Finding the Fourth Proportional to 10,704.70, 16,059.75 and 8,643.43

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Solution

The fourth proportional to 10,704.70, 16,059.75 and 8,643.43 is: 12,967.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.70 : 16,059.75 = 8,643.43 : x
  2. Step 2: Convert to fraction form
    10,704.70/16,059.75 = 8,643.43/x
  3. Step 3: Cross multiply
    10,704.70x = 16,059.75 × 8,643.43
  4. Step 4: Simplify right side
    10,704.70x = 138,811,324.94
  5. Step 5: Solve for x
    x = 138,811,324.94/10,704.70
  6. Step 6: Final answer
    x = 12,967.33

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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.