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Finding the Fourth Proportional to 8,235.20, 12,343.20 and 3,302.40

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Solution

The fourth proportional to 8,235.20, 12,343.20 and 3,302.40 is: 4,949.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.20 : 12,343.20 = 3,302.40 : x
  2. Step 2: Convert to fraction form
    8,235.20/12,343.20 = 3,302.40/x
  3. Step 3: Cross multiply
    8,235.20x = 12,343.20 × 3,302.40
  4. Step 4: Simplify right side
    8,235.20x = 40,762,183.68
  5. Step 5: Solve for x
    x = 40,762,183.68/8,235.20
  6. Step 6: Final answer
    x = 4,949.75

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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.