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Finding the Fourth Proportional to 5,431.64, 8,148.04 and 1,734.44

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Solution

The fourth proportional to 5,431.64, 8,148.04 and 1,734.44 is: 2,601.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431.64 : 8,148.04 = 1,734.44 : x
  2. Step 2: Convert to fraction form
    5,431.64/8,148.04 = 1,734.44/x
  3. Step 3: Cross multiply
    5,431.64x = 8,148.04 × 1,734.44
  4. Step 4: Simplify right side
    5,431.64x = 14,132,286.50
  5. Step 5: Solve for x
    x = 14,132,286.50/5,431.64
  6. Step 6: Final answer
    x = 2,601.85

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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.