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Finding the Fourth Proportional to 4,638.96, 6,402.96 and 3,149.37

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Solution

The fourth proportional to 4,638.96, 6,402.96 and 3,149.37 is: 4,346.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.96 : 6,402.96 = 3,149.37 : x
  2. Step 2: Convert to fraction form
    4,638.96/6,402.96 = 3,149.37/x
  3. Step 3: Cross multiply
    4,638.96x = 6,402.96 × 3,149.37
  4. Step 4: Simplify right side
    4,638.96x = 20,165,290.14
  5. Step 5: Solve for x
    x = 20,165,290.14/4,638.96
  6. Step 6: Final answer
    x = 4,346.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.