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Finding the Fourth Proportional to 3,881.76, 5,817.47 and 1,414.25

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Solution

The fourth proportional to 3,881.76, 5,817.47 and 1,414.25 is: 2,119.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.76 : 5,817.47 = 1,414.25 : x
  2. Step 2: Convert to fraction form
    3,881.76/5,817.47 = 1,414.25/x
  3. Step 3: Cross multiply
    3,881.76x = 5,817.47 × 1,414.25
  4. Step 4: Simplify right side
    3,881.76x = 8,227,320.79
  5. Step 5: Solve for x
    x = 8,227,320.79/3,881.76
  6. Step 6: Final answer
    x = 2,119.48

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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.