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Finding the Fourth Proportional to 13,813.56, 20,711.16 and 8,253

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Solution

The fourth proportional to 13,813.56, 20,711.16 and 8,253 is: 12,374.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.56 : 20,711.16 = 8,253 : x
  2. Step 2: Convert to fraction form
    13,813.56/20,711.16 = 8,253/x
  3. Step 3: Cross multiply
    13,813.56x = 20,711.16 × 8,253
  4. Step 4: Simplify right side
    13,813.56x = 170,929,203.48
  5. Step 5: Solve for x
    x = 170,929,203.48/13,813.56
  6. Step 6: Final answer
    x = 12,374.02

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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.