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Finding the Fourth Proportional to 3,787.94, 5,661.96 and 3,290.40

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Solution

The fourth proportional to 3,787.94, 5,661.96 and 3,290.40 is: 4,918.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.94 : 5,661.96 = 3,290.40 : x
  2. Step 2: Convert to fraction form
    3,787.94/5,661.96 = 3,290.40/x
  3. Step 3: Cross multiply
    3,787.94x = 5,661.96 × 3,290.40
  4. Step 4: Simplify right side
    3,787.94x = 18,630,113.18
  5. Step 5: Solve for x
    x = 18,630,113.18/3,787.94
  6. Step 6: Final answer
    x = 4,918.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.