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Finding the Fourth Proportional to 27,008.30, 40,499.10 and 8,283.84

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Solution

The fourth proportional to 27,008.30, 40,499.10 and 8,283.84 is: 12,421.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,008.30 : 40,499.10 = 8,283.84 : x
  2. Step 2: Convert to fraction form
    27,008.30/40,499.10 = 8,283.84/x
  3. Step 3: Cross multiply
    27,008.30x = 40,499.10 × 8,283.84
  4. Step 4: Simplify right side
    27,008.30x = 335,488,064.54
  5. Step 5: Solve for x
    x = 335,488,064.54/27,008.30
  6. Step 6: Final answer
    x = 12,421.67

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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.