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Finding the Fourth Proportional to 8,331, 12,496.62 and 2,175

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Solution

The fourth proportional to 8,331, 12,496.62 and 2,175 is: 3,262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,331 : 12,496.62 = 2,175 : x
  2. Step 2: Convert to fraction form
    8,331/12,496.62 = 2,175/x
  3. Step 3: Cross multiply
    8,331x = 12,496.62 × 2,175
  4. Step 4: Simplify right side
    8,331x = 27,180,148.50
  5. Step 5: Solve for x
    x = 27,180,148.50/8,331
  6. Step 6: Final answer
    x = 3,262.53

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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.