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Finding the Fourth Proportional to 3,874.80, 5,812.20 and 3,439.60

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Solution

The fourth proportional to 3,874.80, 5,812.20 and 3,439.60 is: 5,159.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.80 : 5,812.20 = 3,439.60 : x
  2. Step 2: Convert to fraction form
    3,874.80/5,812.20 = 3,439.60/x
  3. Step 3: Cross multiply
    3,874.80x = 5,812.20 × 3,439.60
  4. Step 4: Simplify right side
    3,874.80x = 19,991,643.12
  5. Step 5: Solve for x
    x = 19,991,643.12/3,874.80
  6. Step 6: Final answer
    x = 5,159.40

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Similar ratio
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1.5x scale

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.