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Finding the Fourth Proportional to 18,178.20, 27,245.70 and 7,648.20

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Solution

The fourth proportional to 18,178.20, 27,245.70 and 7,648.20 is: 11,463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,178.20 : 27,245.70 = 7,648.20 : x
  2. Step 2: Convert to fraction form
    18,178.20/27,245.70 = 7,648.20/x
  3. Step 3: Cross multiply
    18,178.20x = 27,245.70 × 7,648.20
  4. Step 4: Simplify right side
    18,178.20x = 208,380,562.74
  5. Step 5: Solve for x
    x = 208,380,562.74/18,178.20
  6. Step 6: Final answer
    x = 11,463.21

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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.