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Finding the Fourth Proportional to 8,340, 12,513.84 and 3,145.44

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Solution

The fourth proportional to 8,340, 12,513.84 and 3,145.44 is: 4,719.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340 : 12,513.84 = 3,145.44 : x
  2. Step 2: Convert to fraction form
    8,340/12,513.84 = 3,145.44/x
  3. Step 3: Cross multiply
    8,340x = 12,513.84 × 3,145.44
  4. Step 4: Simplify right side
    8,340x = 39,361,532.89
  5. Step 5: Solve for x
    x = 39,361,532.89/8,340
  6. Step 6: Final answer
    x = 4,719.61

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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.