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Finding the Fourth Proportional to 6,297.40, 8,690.40 and 3,464.96

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Solution

The fourth proportional to 6,297.40, 8,690.40 and 3,464.96 is: 4,781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.40 : 8,690.40 = 3,464.96 : x
  2. Step 2: Convert to fraction form
    6,297.40/8,690.40 = 3,464.96/x
  3. Step 3: Cross multiply
    6,297.40x = 8,690.40 × 3,464.96
  4. Step 4: Simplify right side
    6,297.40x = 30,111,888.38
  5. Step 5: Solve for x
    x = 30,111,888.38/6,297.40
  6. Step 6: Final answer
    x = 4,781.64

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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.