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Finding the Fourth Proportional to 6,771.60, 9,343.60 and 3,938.57

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Solution

The fourth proportional to 6,771.60, 9,343.60 and 3,938.57 is: 5,434.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.60 : 9,343.60 = 3,938.57 : x
  2. Step 2: Convert to fraction form
    6,771.60/9,343.60 = 3,938.57/x
  3. Step 3: Cross multiply
    6,771.60x = 9,343.60 × 3,938.57
  4. Step 4: Simplify right side
    6,771.60x = 36,800,475.84
  5. Step 5: Solve for x
    x = 36,800,475.84/6,771.60
  6. Step 6: Final answer
    x = 5,434.53

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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.