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Finding the Fourth Proportional to 18,105.10, 27,158.49 and 6,419.50

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Solution

The fourth proportional to 18,105.10, 27,158.49 and 6,419.50 is: 9,629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,105.10 : 27,158.49 = 6,419.50 : x
  2. Step 2: Convert to fraction form
    18,105.10/27,158.49 = 6,419.50/x
  3. Step 3: Cross multiply
    18,105.10x = 27,158.49 × 6,419.50
  4. Step 4: Simplify right side
    18,105.10x = 174,343,926.56
  5. Step 5: Solve for x
    x = 174,343,926.56/18,105.10
  6. Step 6: Final answer
    x = 9,629.55

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1.5x scale

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.