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Finding the Fourth Proportional to 3,804.40, 5,707 and 1,171.80

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Solution

The fourth proportional to 3,804.40, 5,707 and 1,171.80 is: 1,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.40 : 5,707 = 1,171.80 : x
  2. Step 2: Convert to fraction form
    3,804.40/5,707 = 1,171.80/x
  3. Step 3: Cross multiply
    3,804.40x = 5,707 × 1,171.80
  4. Step 4: Simplify right side
    3,804.40x = 6,687,462.60
  5. Step 5: Solve for x
    x = 6,687,462.60/3,804.40
  6. Step 6: Final answer
    x = 1,757.82

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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.