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Finding the Fourth Proportional to 3,787.85, 5,702.84 and 3,328.58

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Solution

The fourth proportional to 3,787.85, 5,702.84 and 3,328.58 is: 5,011.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.85 : 5,702.84 = 3,328.58 : x
  2. Step 2: Convert to fraction form
    3,787.85/5,702.84 = 3,328.58/x
  3. Step 3: Cross multiply
    3,787.85x = 5,702.84 × 3,328.58
  4. Step 4: Simplify right side
    3,787.85x = 18,982,314.01
  5. Step 5: Solve for x
    x = 18,982,314.01/3,787.85
  6. Step 6: Final answer
    x = 5,011.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.