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Finding the Fourth Proportional to 8,704.96, 11,994.56 and 5,905.60

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Solution

The fourth proportional to 8,704.96, 11,994.56 and 5,905.60 is: 8,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,704.96 : 11,994.56 = 5,905.60 : x
  2. Step 2: Convert to fraction form
    8,704.96/11,994.56 = 5,905.60/x
  3. Step 3: Cross multiply
    8,704.96x = 11,994.56 × 5,905.60
  4. Step 4: Simplify right side
    8,704.96x = 70,835,073.54
  5. Step 5: Solve for x
    x = 70,835,073.54/8,704.96
  6. Step 6: Final answer
    x = 8,137.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.