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Finding the Fourth Proportional to 13,405.02, 20,110.91 and 7,863

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Solution

The fourth proportional to 13,405.02, 20,110.91 and 7,863 is: 11,796.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.02 : 20,110.91 = 7,863 : x
  2. Step 2: Convert to fraction form
    13,405.02/20,110.91 = 7,863/x
  3. Step 3: Cross multiply
    13,405.02x = 20,110.91 × 7,863
  4. Step 4: Simplify right side
    13,405.02x = 158,132,046.02
  5. Step 5: Solve for x
    x = 158,132,046.02/13,405.02
  6. Step 6: Final answer
    x = 11,796.48

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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.