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Finding the Fourth Proportional to 6,771.36, 9,344.16 and 3,938.32

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Solution

The fourth proportional to 6,771.36, 9,344.16 and 3,938.32 is: 5,434.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.36 : 9,344.16 = 3,938.32 : x
  2. Step 2: Convert to fraction form
    6,771.36/9,344.16 = 3,938.32/x
  3. Step 3: Cross multiply
    6,771.36x = 9,344.16 × 3,938.32
  4. Step 4: Simplify right side
    6,771.36x = 36,800,292.21
  5. Step 5: Solve for x
    x = 36,800,292.21/6,771.36
  6. Step 6: Final answer
    x = 5,434.70

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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.