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Finding the Fourth Proportional to 4,102.80, 6,148.80 and 3,638.40

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Solution

The fourth proportional to 4,102.80, 6,148.80 and 3,638.40 is: 5,452.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.80 : 6,148.80 = 3,638.40 : x
  2. Step 2: Convert to fraction form
    4,102.80/6,148.80 = 3,638.40/x
  3. Step 3: Cross multiply
    4,102.80x = 6,148.80 × 3,638.40
  4. Step 4: Simplify right side
    4,102.80x = 22,371,793.92
  5. Step 5: Solve for x
    x = 22,371,793.92/4,102.80
  6. Step 6: Final answer
    x = 5,452.81

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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.