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Finding the Fourth Proportional to 3,638.46, 5,457.71 and 1,663.68

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Solution

The fourth proportional to 3,638.46, 5,457.71 and 1,663.68 is: 2,495.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.46 : 5,457.71 = 1,663.68 : x
  2. Step 2: Convert to fraction form
    3,638.46/5,457.71 = 1,663.68/x
  3. Step 3: Cross multiply
    3,638.46x = 5,457.71 × 1,663.68
  4. Step 4: Simplify right side
    3,638.46x = 9,079,882.97
  5. Step 5: Solve for x
    x = 9,079,882.97/3,638.46
  6. Step 6: Final answer
    x = 2,495.53

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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.