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Finding the Fourth Proportional to 8,012.50, 12,023.07 and 3,908.50

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Solution

The fourth proportional to 8,012.50, 12,023.07 and 3,908.50 is: 5,864.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.50 : 12,023.07 = 3,908.50 : x
  2. Step 2: Convert to fraction form
    8,012.50/12,023.07 = 3,908.50/x
  3. Step 3: Cross multiply
    8,012.50x = 12,023.07 × 3,908.50
  4. Step 4: Simplify right side
    8,012.50x = 46,992,169.10
  5. Step 5: Solve for x
    x = 46,992,169.10/8,012.50
  6. Step 6: Final answer
    x = 5,864.86

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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.