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Finding the Fourth Proportional to 13,375.96, 20,053.02 and 7,815.64

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Solution

The fourth proportional to 13,375.96, 20,053.02 and 7,815.64 is: 11,717.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,375.96 : 20,053.02 = 7,815.64 : x
  2. Step 2: Convert to fraction form
    13,375.96/20,053.02 = 7,815.64/x
  3. Step 3: Cross multiply
    13,375.96x = 20,053.02 × 7,815.64
  4. Step 4: Simplify right side
    13,375.96x = 156,727,185.23
  5. Step 5: Solve for x
    x = 156,727,185.23/13,375.96
  6. Step 6: Final answer
    x = 11,717.08

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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.