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Finding the Fourth Proportional to 27,119.30, 40,675.20 and 8,412.20

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Solution

The fourth proportional to 27,119.30, 40,675.20 and 8,412.20 is: 12,617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,119.30 : 40,675.20 = 8,412.20 : x
  2. Step 2: Convert to fraction form
    27,119.30/40,675.20 = 8,412.20/x
  3. Step 3: Cross multiply
    27,119.30x = 40,675.20 × 8,412.20
  4. Step 4: Simplify right side
    27,119.30x = 342,167,917.44
  5. Step 5: Solve for x
    x = 342,167,917.44/27,119.30
  6. Step 6: Final answer
    x = 12,617.14

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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.