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Finding the Fourth Proportional to 3,758.40, 5,610.80 and 3,204.80

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Solution

The fourth proportional to 3,758.40, 5,610.80 and 3,204.80 is: 4,784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.40 : 5,610.80 = 3,204.80 : x
  2. Step 2: Convert to fraction form
    3,758.40/5,610.80 = 3,204.80/x
  3. Step 3: Cross multiply
    3,758.40x = 5,610.80 × 3,204.80
  4. Step 4: Simplify right side
    3,758.40x = 17,981,491.84
  5. Step 5: Solve for x
    x = 17,981,491.84/3,758.40
  6. Step 6: Final answer
    x = 4,784.35

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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.