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Finding the Fourth Proportional to 3,549.92, 4,893.24 and 3,480.80

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Solution

The fourth proportional to 3,549.92, 4,893.24 and 3,480.80 is: 4,797.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.92 : 4,893.24 = 3,480.80 : x
  2. Step 2: Convert to fraction form
    3,549.92/4,893.24 = 3,480.80/x
  3. Step 3: Cross multiply
    3,549.92x = 4,893.24 × 3,480.80
  4. Step 4: Simplify right side
    3,549.92x = 17,032,389.79
  5. Step 5: Solve for x
    x = 17,032,389.79/3,549.92
  6. Step 6: Final answer
    x = 4,797.96

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1.5x scale

Why These Related Problems?

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