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Finding the Fourth Proportional to 13,163.74, 18,165.92 and 7,195.41

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Solution

The fourth proportional to 13,163.74, 18,165.92 and 7,195.41 is: 9,929.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163.74 : 18,165.92 = 7,195.41 : x
  2. Step 2: Convert to fraction form
    13,163.74/18,165.92 = 7,195.41/x
  3. Step 3: Cross multiply
    13,163.74x = 18,165.92 × 7,195.41
  4. Step 4: Simplify right side
    13,163.74x = 130,711,242.43
  5. Step 5: Solve for x
    x = 130,711,242.43/13,163.74
  6. Step 6: Final answer
    x = 9,929.64

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1.5x scale

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.