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Finding the Fourth Proportional to 3,911.46, 5,398.54 and 3,781.74

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Solution

The fourth proportional to 3,911.46, 5,398.54 and 3,781.74 is: 5,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.46 : 5,398.54 = 3,781.74 : x
  2. Step 2: Convert to fraction form
    3,911.46/5,398.54 = 3,781.74/x
  3. Step 3: Cross multiply
    3,911.46x = 5,398.54 × 3,781.74
  4. Step 4: Simplify right side
    3,911.46x = 20,415,874.66
  5. Step 5: Solve for x
    x = 20,415,874.66/3,911.46
  6. Step 6: Final answer
    x = 5,219.50

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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.