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Finding the Fourth Proportional to 18,663.67, 27,984.57 and 6,977.80

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Solution

The fourth proportional to 18,663.67, 27,984.57 and 6,977.80 is: 10,462.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,663.67 : 27,984.57 = 6,977.80 : x
  2. Step 2: Convert to fraction form
    18,663.67/27,984.57 = 6,977.80/x
  3. Step 3: Cross multiply
    18,663.67x = 27,984.57 × 6,977.80
  4. Step 4: Simplify right side
    18,663.67x = 195,270,732.55
  5. Step 5: Solve for x
    x = 195,270,732.55/18,663.67
  6. Step 6: Final answer
    x = 10,462.61

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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.