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Finding the Fourth Proportional to 13,711.72, 20,575.80 and 5,813.80

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Solution

The fourth proportional to 13,711.72, 20,575.80 and 5,813.80 is: 8,724.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.72 : 20,575.80 = 5,813.80 : x
  2. Step 2: Convert to fraction form
    13,711.72/20,575.80 = 5,813.80/x
  3. Step 3: Cross multiply
    13,711.72x = 20,575.80 × 5,813.80
  4. Step 4: Simplify right side
    13,711.72x = 119,623,586.04
  5. Step 5: Solve for x
    x = 119,623,586.04/13,711.72
  6. Step 6: Final answer
    x = 8,724.19

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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.