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Finding the Fourth Proportional to 5,691, 8,537.46 and 2,405.64

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Solution

The fourth proportional to 5,691, 8,537.46 and 2,405.64 is: 3,608.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691 : 8,537.46 = 2,405.64 : x
  2. Step 2: Convert to fraction form
    5,691/8,537.46 = 2,405.64/x
  3. Step 3: Cross multiply
    5,691x = 8,537.46 × 2,405.64
  4. Step 4: Simplify right side
    5,691x = 20,538,055.27
  5. Step 5: Solve for x
    x = 20,538,055.27/5,691
  6. Step 6: Final answer
    x = 3,608.87

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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.