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Finding the Fourth Proportional to 13,299.54, 19,956.29 and 5,909.29

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Solution

The fourth proportional to 13,299.54, 19,956.29 and 5,909.29 is: 8,867.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,299.54 : 19,956.29 = 5,909.29 : x
  2. Step 2: Convert to fraction form
    13,299.54/19,956.29 = 5,909.29/x
  3. Step 3: Cross multiply
    13,299.54x = 19,956.29 × 5,909.29
  4. Step 4: Simplify right side
    13,299.54x = 117,927,504.93
  5. Step 5: Solve for x
    x = 117,927,504.93/13,299.54
  6. Step 6: Final answer
    x = 8,867.04

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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.