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Finding the Fourth Proportional to 6,423.68, 9,636.16 and 2,961.92

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Solution

The fourth proportional to 6,423.68, 9,636.16 and 2,961.92 is: 4,443.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.68 : 9,636.16 = 2,961.92 : x
  2. Step 2: Convert to fraction form
    6,423.68/9,636.16 = 2,961.92/x
  3. Step 3: Cross multiply
    6,423.68x = 9,636.16 × 2,961.92
  4. Step 4: Simplify right side
    6,423.68x = 28,541,535.03
  5. Step 5: Solve for x
    x = 28,541,535.03/6,423.68
  6. Step 6: Final answer
    x = 4,443.18

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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.