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Finding the Fourth Proportional to 5,847.86, 8,771.81 and 1,687.88

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Solution

The fourth proportional to 5,847.86, 8,771.81 and 1,687.88 is: 2,531.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.86 : 8,771.81 = 1,687.88 : x
  2. Step 2: Convert to fraction form
    5,847.86/8,771.81 = 1,687.88/x
  3. Step 3: Cross multiply
    5,847.86x = 8,771.81 × 1,687.88
  4. Step 4: Simplify right side
    5,847.86x = 14,805,776.15
  5. Step 5: Solve for x
    x = 14,805,776.15/5,847.86
  6. Step 6: Final answer
    x = 2,531.83

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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.