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Finding the Fourth Proportional to 5,786.48, 8,681 and 3,188.08

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Solution

The fourth proportional to 5,786.48, 8,681 and 3,188.08 is: 4,782.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.48 : 8,681 = 3,188.08 : x
  2. Step 2: Convert to fraction form
    5,786.48/8,681 = 3,188.08/x
  3. Step 3: Cross multiply
    5,786.48x = 8,681 × 3,188.08
  4. Step 4: Simplify right side
    5,786.48x = 27,675,722.48
  5. Step 5: Solve for x
    x = 27,675,722.48/5,786.48
  6. Step 6: Final answer
    x = 4,782.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.