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Finding the Fourth Proportional to 8,312.68, 12,469.14 and 2,072.68

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Solution

The fourth proportional to 8,312.68, 12,469.14 and 2,072.68 is: 3,109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.68 : 12,469.14 = 2,072.68 : x
  2. Step 2: Convert to fraction form
    8,312.68/12,469.14 = 2,072.68/x
  3. Step 3: Cross multiply
    8,312.68x = 12,469.14 × 2,072.68
  4. Step 4: Simplify right side
    8,312.68x = 25,844,537.10
  5. Step 5: Solve for x
    x = 25,844,537.10/8,312.68
  6. Step 6: Final answer
    x = 3,109.05

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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.