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Finding the Fourth Proportional to 28,114.76, 42,165.91 and 8,119.91

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Solution

The fourth proportional to 28,114.76, 42,165.91 and 8,119.91 is: 12,178.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,114.76 : 42,165.91 = 8,119.91 : x
  2. Step 2: Convert to fraction form
    28,114.76/42,165.91 = 8,119.91/x
  3. Step 3: Cross multiply
    28,114.76x = 42,165.91 × 8,119.91
  4. Step 4: Simplify right side
    28,114.76x = 342,383,394.27
  5. Step 5: Solve for x
    x = 342,383,394.27/28,114.76
  6. Step 6: Final answer
    x = 12,178.07

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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.