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Finding the Fourth Proportional to 5,704.92, 7,870.94 and 3,186.62

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Solution

The fourth proportional to 5,704.92, 7,870.94 and 3,186.62 is: 4,396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.92 : 7,870.94 = 3,186.62 : x
  2. Step 2: Convert to fraction form
    5,704.92/7,870.94 = 3,186.62/x
  3. Step 3: Cross multiply
    5,704.92x = 7,870.94 × 3,186.62
  4. Step 4: Simplify right side
    5,704.92x = 25,081,694.82
  5. Step 5: Solve for x
    x = 25,081,694.82/5,704.92
  6. Step 6: Final answer
    x = 4,396.50

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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.