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Finding the Fourth Proportional to 8,133, 12,199.50 and 3,519.24

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Solution

The fourth proportional to 8,133, 12,199.50 and 3,519.24 is: 5,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133 : 12,199.50 = 3,519.24 : x
  2. Step 2: Convert to fraction form
    8,133/12,199.50 = 3,519.24/x
  3. Step 3: Cross multiply
    8,133x = 12,199.50 × 3,519.24
  4. Step 4: Simplify right side
    8,133x = 42,932,968.38
  5. Step 5: Solve for x
    x = 42,932,968.38/8,133
  6. Step 6: Final answer
    x = 5,278.86

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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.