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Finding the Fourth Proportional to 8,107.80, 12,164.58 and 3,429

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Solution

The fourth proportional to 8,107.80, 12,164.58 and 3,429 is: 5,144.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.80 : 12,164.58 = 3,429 : x
  2. Step 2: Convert to fraction form
    8,107.80/12,164.58 = 3,429/x
  3. Step 3: Cross multiply
    8,107.80x = 12,164.58 × 3,429
  4. Step 4: Simplify right side
    8,107.80x = 41,712,344.82
  5. Step 5: Solve for x
    x = 41,712,344.82/8,107.80
  6. Step 6: Final answer
    x = 5,144.72

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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.