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Finding the Fourth Proportional to 3,778.59, 5,664.65 and 1,311.87

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Solution

The fourth proportional to 3,778.59, 5,664.65 and 1,311.87 is: 1,966.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.59 : 5,664.65 = 1,311.87 : x
  2. Step 2: Convert to fraction form
    3,778.59/5,664.65 = 1,311.87/x
  3. Step 3: Cross multiply
    3,778.59x = 5,664.65 × 1,311.87
  4. Step 4: Simplify right side
    3,778.59x = 7,431,277.84
  5. Step 5: Solve for x
    x = 7,431,277.84/3,778.59
  6. Step 6: Final answer
    x = 1,966.68

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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.