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Finding the Fourth Proportional to 3,776.64, 5,664.96 and 1,179.78

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Solution

The fourth proportional to 3,776.64, 5,664.96 and 1,179.78 is: 1,769.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.64 : 5,664.96 = 1,179.78 : x
  2. Step 2: Convert to fraction form
    3,776.64/5,664.96 = 1,179.78/x
  3. Step 3: Cross multiply
    3,776.64x = 5,664.96 × 1,179.78
  4. Step 4: Simplify right side
    3,776.64x = 6,683,406.51
  5. Step 5: Solve for x
    x = 6,683,406.51/3,776.64
  6. Step 6: Final answer
    x = 1,769.67

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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.