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Finding the Fourth Proportional to 8,477, 12,716.30 and 2,321

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Solution

The fourth proportional to 8,477, 12,716.30 and 2,321 is: 3,481.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477 : 12,716.30 = 2,321 : x
  2. Step 2: Convert to fraction form
    8,477/12,716.30 = 2,321/x
  3. Step 3: Cross multiply
    8,477x = 12,716.30 × 2,321
  4. Step 4: Simplify right side
    8,477x = 29,514,532.30
  5. Step 5: Solve for x
    x = 29,514,532.30/8,477
  6. Step 6: Final answer
    x = 3,481.72

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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.