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Finding the Fourth Proportional to 3,769.20, 5,653.80 and 3,358.80

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Solution

The fourth proportional to 3,769.20, 5,653.80 and 3,358.80 is: 5,038.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.20 : 5,653.80 = 3,358.80 : x
  2. Step 2: Convert to fraction form
    3,769.20/5,653.80 = 3,358.80/x
  3. Step 3: Cross multiply
    3,769.20x = 5,653.80 × 3,358.80
  4. Step 4: Simplify right side
    3,769.20x = 18,989,983.44
  5. Step 5: Solve for x
    x = 18,989,983.44/3,769.20
  6. Step 6: Final answer
    x = 5,038.20

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1.5x scale

Why These Related Problems?

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