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Finding the Fourth Proportional to 6,344.40, 9,520.72 and 2,881.68

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Solution

The fourth proportional to 6,344.40, 9,520.72 and 2,881.68 is: 4,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.40 : 9,520.72 = 2,881.68 : x
  2. Step 2: Convert to fraction form
    6,344.40/9,520.72 = 2,881.68/x
  3. Step 3: Cross multiply
    6,344.40x = 9,520.72 × 2,881.68
  4. Step 4: Simplify right side
    6,344.40x = 27,435,668.41
  5. Step 5: Solve for x
    x = 27,435,668.41/6,344.40
  6. Step 6: Final answer
    x = 4,324.39

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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.