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Finding the Fourth Proportional to 8,012.92, 12,013.72 and 3,078.40

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Solution

The fourth proportional to 8,012.92, 12,013.72 and 3,078.40 is: 4,615.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.92 : 12,013.72 = 3,078.40 : x
  2. Step 2: Convert to fraction form
    8,012.92/12,013.72 = 3,078.40/x
  3. Step 3: Cross multiply
    8,012.92x = 12,013.72 × 3,078.40
  4. Step 4: Simplify right side
    8,012.92x = 36,983,035.65
  5. Step 5: Solve for x
    x = 36,983,035.65/8,012.92
  6. Step 6: Final answer
    x = 4,615.43

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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.