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Finding the Fourth Proportional to 7,204.75, 9,942.56 and 3,892.75

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Solution

The fourth proportional to 7,204.75, 9,942.56 and 3,892.75 is: 5,372.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.75 : 9,942.56 = 3,892.75 : x
  2. Step 2: Convert to fraction form
    7,204.75/9,942.56 = 3,892.75/x
  3. Step 3: Cross multiply
    7,204.75x = 9,942.56 × 3,892.75
  4. Step 4: Simplify right side
    7,204.75x = 38,703,880.98
  5. Step 5: Solve for x
    x = 38,703,880.98/7,204.75
  6. Step 6: Final answer
    x = 5,372.00

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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.