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Finding the Fourth Proportional to 13,162.28, 18,163.18 and 7,194

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Solution

The fourth proportional to 13,162.28, 18,163.18 and 7,194 is: 9,927.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,162.28 : 18,163.18 = 7,194 : x
  2. Step 2: Convert to fraction form
    13,162.28/18,163.18 = 7,194/x
  3. Step 3: Cross multiply
    13,162.28x = 18,163.18 × 7,194
  4. Step 4: Simplify right side
    13,162.28x = 130,665,916.92
  5. Step 5: Solve for x
    x = 130,665,916.92/13,162.28
  6. Step 6: Final answer
    x = 9,927.30

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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.