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Finding the Fourth Proportional to 6,984.31, 9,638.40 and 3,797.64

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Solution

The fourth proportional to 6,984.31, 9,638.40 and 3,797.64 is: 5,240.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.31 : 9,638.40 = 3,797.64 : x
  2. Step 2: Convert to fraction form
    6,984.31/9,638.40 = 3,797.64/x
  3. Step 3: Cross multiply
    6,984.31x = 9,638.40 × 3,797.64
  4. Step 4: Simplify right side
    6,984.31x = 36,603,173.38
  5. Step 5: Solve for x
    x = 36,603,173.38/6,984.31
  6. Step 6: Final answer
    x = 5,240.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.