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Finding the Fourth Proportional to 8,046, 12,073.86 and 3,429

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Solution

The fourth proportional to 8,046, 12,073.86 and 3,429 is: 5,145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046 : 12,073.86 = 3,429 : x
  2. Step 2: Convert to fraction form
    8,046/12,073.86 = 3,429/x
  3. Step 3: Cross multiply
    8,046x = 12,073.86 × 3,429
  4. Step 4: Simplify right side
    8,046x = 41,401,265.94
  5. Step 5: Solve for x
    x = 41,401,265.94/8,046
  6. Step 6: Final answer
    x = 5,145.57

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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.