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Finding the Fourth Proportional to 3,854.31, 5,780.04 and 1,388.46

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Solution

The fourth proportional to 3,854.31, 5,780.04 and 1,388.46 is: 2,082.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.31 : 5,780.04 = 1,388.46 : x
  2. Step 2: Convert to fraction form
    3,854.31/5,780.04 = 1,388.46/x
  3. Step 3: Cross multiply
    3,854.31x = 5,780.04 × 1,388.46
  4. Step 4: Simplify right side
    3,854.31x = 8,025,354.34
  5. Step 5: Solve for x
    x = 8,025,354.34/3,854.31
  6. Step 6: Final answer
    x = 2,082.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.