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Finding the Fourth Proportional to 3,776.58, 5,664.05 and 1,178.10

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Solution

The fourth proportional to 3,776.58, 5,664.05 and 1,178.10 is: 1,766.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.58 : 5,664.05 = 1,178.10 : x
  2. Step 2: Convert to fraction form
    3,776.58/5,664.05 = 1,178.10/x
  3. Step 3: Cross multiply
    3,776.58x = 5,664.05 × 1,178.10
  4. Step 4: Simplify right side
    3,776.58x = 6,672,817.31
  5. Step 5: Solve for x
    x = 6,672,817.31/3,776.58
  6. Step 6: Final answer
    x = 1,766.89

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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.