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Finding the Fourth Proportional to 7,191.85, 9,923.84 and 4,047.43

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Solution

The fourth proportional to 7,191.85, 9,923.84 and 4,047.43 is: 5,584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191.85 : 9,923.84 = 4,047.43 : x
  2. Step 2: Convert to fraction form
    7,191.85/9,923.84 = 4,047.43/x
  3. Step 3: Cross multiply
    7,191.85x = 9,923.84 × 4,047.43
  4. Step 4: Simplify right side
    7,191.85x = 40,166,027.49
  5. Step 5: Solve for x
    x = 40,166,027.49/7,191.85
  6. Step 6: Final answer
    x = 5,584.94

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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.