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Finding the Fourth Proportional to 6,431.64, 9,636.44 and 3,512

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Solution

The fourth proportional to 6,431.64, 9,636.44 and 3,512 is: 5,261.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.64 : 9,636.44 = 3,512 : x
  2. Step 2: Convert to fraction form
    6,431.64/9,636.44 = 3,512/x
  3. Step 3: Cross multiply
    6,431.64x = 9,636.44 × 3,512
  4. Step 4: Simplify right side
    6,431.64x = 33,843,177.28
  5. Step 5: Solve for x
    x = 33,843,177.28/6,431.64
  6. Step 6: Final answer
    x = 5,261.98

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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.