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Finding the Fourth Proportional to 3,046.46, 4,202.80 and 1,787.90

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Solution

The fourth proportional to 3,046.46, 4,202.80 and 1,787.90 is: 2,466.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.46 : 4,202.80 = 1,787.90 : x
  2. Step 2: Convert to fraction form
    3,046.46/4,202.80 = 1,787.90/x
  3. Step 3: Cross multiply
    3,046.46x = 4,202.80 × 1,787.90
  4. Step 4: Simplify right side
    3,046.46x = 7,514,160.64
  5. Step 5: Solve for x
    x = 7,514,160.64/3,046.46
  6. Step 6: Final answer
    x = 2,466.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.