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Finding the Fourth Proportional to 8,056.90, 12,089.16 and 3,894.56

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Solution

The fourth proportional to 8,056.90, 12,089.16 and 3,894.56 is: 5,843.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,056.90 : 12,089.16 = 3,894.56 : x
  2. Step 2: Convert to fraction form
    8,056.90/12,089.16 = 3,894.56/x
  3. Step 3: Cross multiply
    8,056.90x = 12,089.16 × 3,894.56
  4. Step 4: Simplify right side
    8,056.90x = 47,081,958.97
  5. Step 5: Solve for x
    x = 47,081,958.97/8,056.90
  6. Step 6: Final answer
    x = 5,843.68

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1.5x scale

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.