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Finding the Fourth Proportional to 3,023.67, 4,536.81 and 1,638

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Solution

The fourth proportional to 3,023.67, 4,536.81 and 1,638 is: 2,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.67 : 4,536.81 = 1,638 : x
  2. Step 2: Convert to fraction form
    3,023.67/4,536.81 = 1,638/x
  3. Step 3: Cross multiply
    3,023.67x = 4,536.81 × 1,638
  4. Step 4: Simplify right side
    3,023.67x = 7,431,294.78
  5. Step 5: Solve for x
    x = 7,431,294.78/3,023.67
  6. Step 6: Final answer
    x = 2,457.70

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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.