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Finding the Fourth Proportional to 5,786.90, 8,674.59 and 3,318.74

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Solution

The fourth proportional to 5,786.90, 8,674.59 and 3,318.74 is: 4,974.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.90 : 8,674.59 = 3,318.74 : x
  2. Step 2: Convert to fraction form
    5,786.90/8,674.59 = 3,318.74/x
  3. Step 3: Cross multiply
    5,786.90x = 8,674.59 × 3,318.74
  4. Step 4: Simplify right side
    5,786.90x = 28,788,708.82
  5. Step 5: Solve for x
    x = 28,788,708.82/5,786.90
  6. Step 6: Final answer
    x = 4,974.81

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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.