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Finding the Fourth Proportional to 3,910.76, 5,864.72 and 1,136.68

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Solution

The fourth proportional to 3,910.76, 5,864.72 and 1,136.68 is: 1,704.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.76 : 5,864.72 = 1,136.68 : x
  2. Step 2: Convert to fraction form
    3,910.76/5,864.72 = 1,136.68/x
  3. Step 3: Cross multiply
    3,910.76x = 5,864.72 × 1,136.68
  4. Step 4: Simplify right side
    3,910.76x = 6,666,309.93
  5. Step 5: Solve for x
    x = 6,666,309.93/3,910.76
  6. Step 6: Final answer
    x = 1,704.61

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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.