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Finding the Fourth Proportional to 6,497.42, 8,968.73 and 3,847.10

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Solution

The fourth proportional to 6,497.42, 8,968.73 and 3,847.10 is: 5,310.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.42 : 8,968.73 = 3,847.10 : x
  2. Step 2: Convert to fraction form
    6,497.42/8,968.73 = 3,847.10/x
  3. Step 3: Cross multiply
    6,497.42x = 8,968.73 × 3,847.10
  4. Step 4: Simplify right side
    6,497.42x = 34,503,537.10
  5. Step 5: Solve for x
    x = 34,503,537.10/6,497.42
  6. Step 6: Final answer
    x = 5,310.35

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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.