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Finding the Fourth Proportional to 5,817.72, 8,727.10 and 1,657.80

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Solution

The fourth proportional to 5,817.72, 8,727.10 and 1,657.80 is: 2,486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.72 : 8,727.10 = 1,657.80 : x
  2. Step 2: Convert to fraction form
    5,817.72/8,727.10 = 1,657.80/x
  3. Step 3: Cross multiply
    5,817.72x = 8,727.10 × 1,657.80
  4. Step 4: Simplify right side
    5,817.72x = 14,467,786.38
  5. Step 5: Solve for x
    x = 14,467,786.38/5,817.72
  6. Step 6: Final answer
    x = 2,486.85

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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.