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Finding the Fourth Proportional to 3,781.60, 5,219.04 and 3,660.64

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Solution

The fourth proportional to 3,781.60, 5,219.04 and 3,660.64 is: 5,052.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.60 : 5,219.04 = 3,660.64 : x
  2. Step 2: Convert to fraction form
    3,781.60/5,219.04 = 3,660.64/x
  3. Step 3: Cross multiply
    3,781.60x = 5,219.04 × 3,660.64
  4. Step 4: Simplify right side
    3,781.60x = 19,105,026.59
  5. Step 5: Solve for x
    x = 19,105,026.59/3,781.60
  6. Step 6: Final answer
    x = 5,052.10

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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.