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Finding the Fourth Proportional to 13,711.57, 18,922.32 and 8,409.31

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Solution

The fourth proportional to 13,711.57, 18,922.32 and 8,409.31 is: 11,605.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.57 : 18,922.32 = 8,409.31 : x
  2. Step 2: Convert to fraction form
    13,711.57/18,922.32 = 8,409.31/x
  3. Step 3: Cross multiply
    13,711.57x = 18,922.32 × 8,409.31
  4. Step 4: Simplify right side
    13,711.57x = 159,123,607.49
  5. Step 5: Solve for x
    x = 159,123,607.49/13,711.57
  6. Step 6: Final answer
    x = 11,605.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.