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Finding the Fourth Proportional to 3,613, 5,391.53 and 3,224.20

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Solution

The fourth proportional to 3,613, 5,391.53 and 3,224.20 is: 4,811.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613 : 5,391.53 = 3,224.20 : x
  2. Step 2: Convert to fraction form
    3,613/5,391.53 = 3,224.20/x
  3. Step 3: Cross multiply
    3,613x = 5,391.53 × 3,224.20
  4. Step 4: Simplify right side
    3,613x = 17,383,371.03
  5. Step 5: Solve for x
    x = 17,383,371.03/3,613
  6. Step 6: Final answer
    x = 4,811.34

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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.