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Finding the Fourth Proportional to 3,613, 4,955.96 and 3,581.80

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Solution

The fourth proportional to 3,613, 4,955.96 and 3,581.80 is: 4,913.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613 : 4,955.96 = 3,581.80 : x
  2. Step 2: Convert to fraction form
    3,613/4,955.96 = 3,581.80/x
  3. Step 3: Cross multiply
    3,613x = 4,955.96 × 3,581.80
  4. Step 4: Simplify right side
    3,613x = 17,751,257.53
  5. Step 5: Solve for x
    x = 17,751,257.53/3,613
  6. Step 6: Final answer
    x = 4,913.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.