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Finding the Fourth Proportional to 3,848.28, 5,772.42 and 1,383.11

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Solution

The fourth proportional to 3,848.28, 5,772.42 and 1,383.11 is: 2,074.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.28 : 5,772.42 = 1,383.11 : x
  2. Step 2: Convert to fraction form
    3,848.28/5,772.42 = 1,383.11/x
  3. Step 3: Cross multiply
    3,848.28x = 5,772.42 × 1,383.11
  4. Step 4: Simplify right side
    3,848.28x = 7,983,862.96
  5. Step 5: Solve for x
    x = 7,983,862.96/3,848.28
  6. Step 6: Final answer
    x = 2,074.66

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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.