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Finding the Fourth Proportional to 13,646, 20,456.04 and 5,319.92

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Solution

The fourth proportional to 13,646, 20,456.04 and 5,319.92 is: 7,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646 : 20,456.04 = 5,319.92 : x
  2. Step 2: Convert to fraction form
    13,646/20,456.04 = 5,319.92/x
  3. Step 3: Cross multiply
    13,646x = 20,456.04 × 5,319.92
  4. Step 4: Simplify right side
    13,646x = 108,824,496.32
  5. Step 5: Solve for x
    x = 108,824,496.32/13,646
  6. Step 6: Final answer
    x = 7,974.83

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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.